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104213131020 = 223254714598443
BaseRepresentation
bin110000100001110010…
…1100010111100001100
3100221222210101120111100
41201003211202330030
53201412030143040
6115512545023100
710346332666215
oct1410345427414
9327883346440
10104213131020
1140218660869
1218244924a90
139a9a63518b
14508881440c
152a9e05eb30
hex1843962f0c

104213131020 has 144 divisors (see below), whose sum is σ = 323098513920. Its totient is φ = 27177026688.

The previous prime is 104213130997. The next prime is 104213131037. The reversal of 104213131020 is 20131312401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104213130984 and 104213131002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12338919 + ... + 12347361.

It is an arithmetic number, because the mean of its divisors is an integer number (2243739680).

Almost surely, 2104213131020 is an apocalyptic number.

104213131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104213131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161549256960).

104213131020 is an abundant number, since it is smaller than the sum of its proper divisors (218885382900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104213131020 is a wasteful number, since it uses less digits than its factorization.

104213131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 104213131020 its reverse (20131312401), we get a palindrome (124344443421).

The spelling of 104213131020 in words is "one hundred four billion, two hundred thirteen million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1459 1692 2115 2820 2918 4230 4377 5836 7295 8443 8460 8754 13131 14590 16886 17508 21885 25329 26262 29180 33772 42215 43770 50658 52524 65655 68573 75987 84430 87540 101316 126645 131310 137146 151974 168860 205719 253290 262620 274292 303948 342865 379935 396821 411438 506580 617157 685730 759870 793642 822876 1028595 1190463 1234314 1371460 1519740 1587284 1984105 2057190 2380926 2468628 3085785 3571389 3968210 4114380 4761852 5952315 6171570 7142778 7936420 11904630 12318337 12343140 14285556 17856945 23809260 24636674 35713890 36955011 49273348 61591685 71427780 73910022 110865033 123183370 147820044 184775055 221730066 246366740 369550110 443460132 554325165 578961839 739100220 1108650330 1157923678 1736885517 2217300660 2315847356 2894809195 3473771034 5210656551 5789618390 6947542068 8684427585 10421313102 11579236780 17368855170 20842626204 26053282755 34737710340 52106565510 104213131020