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1321120310220 = 223354827150683
BaseRepresentation
bin10011001110011000111…
…010000010001111001100
311200022001010221101012000
4103032120322002033030
5133121123244411340
62450525253112300
7164306410232004
oct23163072021714
94608033841160
101321120310220
1146a313a78927
12194060628690
1397772914419
1447d2a579004
15245731d9d30
hex13398e823cc

1321120310220 has 96 divisors (see below), whose sum is σ = 4110318320640. Its totient is φ = 352284500160.

The previous prime is 1321120310219. The next prime is 1321120310221. The reversal of 1321120310220 is 220130211231.

1321120310220 is a `hidden beast` number, since 1 + 321 + 12 + 0 + 310 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1321120310219) and next prime (1321120310221).

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 = 1321120310193 and 1321120310202.

It is not an unprimeable number, because it can be changed into a prime (1321120310221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26040999 + ... + 26091681.

It is an arithmetic number, because the mean of its divisors is an integer number (42815815840).

Almost surely, 21321120310220 is an apocalyptic number.

1321120310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321120310220 is an abundant number, since it is smaller than the sum of its proper divisors (2789198010420).

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

1321120310220 is a wasteful number, since it uses less digits than its factorization.

1321120310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98972 (or 98964 counting only the distinct ones).

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

Adding to 1321120310220 its reverse (220130211231), we get a palindrome (1541250521451).

The spelling of 1321120310220 in words is "one trillion, three hundred twenty-one billion, one hundred twenty million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 48271 50683 96542 101366 144813 152049 193084 202732 241355 253415 289626 304098 434439 456147 482710 506830 579252 608196 724065 760245 868878 912294 965420 1013660 1303317 1368441 1448130 1520490 1737756 1824588 2172195 2280735 2606634 2736882 2896260 3040980 4344390 4561470 5213268 5473764 6516585 6842205 8688780 9122940 13033170 13684410 26066340 27368820 2446519093 4893038186 7339557279 9786076372 12232595465 14679114558 22018671837 24465190930 29358229116 36697786395 44037343674 48930381860 66056015511 73395572790 88074687348 110093359185 132112031022 146791145580 220186718370 264224062044 330280077555 440373436740 660560155110 1321120310220