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202120401420 = 223257236974479
BaseRepresentation
bin1011110000111101010…
…0001001001000001100
3201022201010012020102100
42330033110021020030
511302420310321140
6232504113355100
720413506031230
oct2741724111014
9638633166370
10202120401420
117879a774173
1233209868a90
13160a1701082
149ad595c5c0
1553ce6bb530
hex2f0f50920c

202120401420 has 144 divisors (see below), whose sum is σ = 731148687360. Its totient is φ = 44190292608.

The previous prime is 202120401361. The next prime is 202120401437. The reversal of 202120401420 is 24104021202.

202120401420 is a `hidden beast` number, since 20 + 21 + 204 + 0 + 1 + 420 = 666.

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 = 202120401393 and 202120401402.

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, 3458260 + ... + 3516219.

It is an arithmetic number, because the mean of its divisors is an integer number (5077421440).

Almost surely, 2202120401420 is an apocalyptic number.

202120401420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120401420 is an abundant number, since it is smaller than the sum of its proper divisors (529028285940).

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

202120401420 is a wasteful number, since it uses less digits than its factorization.

202120401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974524 (or 6974519 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202120401420 its reverse (24104021202), we get a palindrome (226224422622).

The spelling of 202120401420 in words is "two hundred two billion, one hundred twenty million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 6974479 13948958 20923437 27897916 34872395 41846874 48821353 62770311 69744790 83693748 97642706 104617185 125540622 139489580 146464059 160413017 195285412 209234370 244106765 251081244 292928118 313851555 320826034 418468740 439392177 481239051 488213530 585856236 627703110 641652068 732320295 802065085 878784354 962478102 976427060 1122891119 1255406220 1443717153 1464640590 1604130170 1757568708 1924956204 2196960885 2245782238 2406195255 2887434306 2929281180 3208260340 3368673357 4393921770 4491564476 4812390510 5614455595 5774868612 6737346714 7218585765 8787843540 9624781020 10106020071 11228911190 13474693428 14437171530 16843366785 20212040142 22457822380 28874343060 33686733570 40424080284 50530100355 67373467140 101060200710 202120401420