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21121122012320 = 2551112000637507
BaseRepresentation
bin1001100110101101001001…
…11110011000110010100000
32202210011022022022200012002
410303112210332120302200
510232022024213343240
6112530524241423132
74306644043626161
oct463264476306240
982704268280162
1021121122012320
116803465827560
1224514b903aaa8
13ba2937053945
145303a6a39768
1526961ed35d15
hex1335a4f98ca0

21121122012320 has 48 divisors (see below), whose sum is σ = 54434891736288. Its totient is φ = 7680408003840.

The previous prime is 21121122012299. The next prime is 21121122012433. The reversal of 21121122012320 is 2321022112112.

It is a super-2 number, since 2×211211220123202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21121122012292 and 21121122012301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6000316994 + ... + 6000320513.

It is an arithmetic number, because the mean of its divisors is an integer number (1134060244506).

Almost surely, 221121122012320 is an apocalyptic number.

21121122012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121122012320 is an abundant number, since it is smaller than the sum of its proper divisors (33313769723968).

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

21121122012320 is a wasteful number, since it uses less digits than its factorization.

21121122012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12000637533 (or 12000637525 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 21121122012320 its reverse (2321022112112), we get a palindrome (23442144124432).

The spelling of 21121122012320 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 12000637507 24001275014 48002550028 60003187535 96005100056 120006375070 132007012577 192010200112 240012750140 264014025154 384020400224 480025500280 528028050308 660035062885 960051000560 1056056100616 1320070125770 1920102001120 2112112201232 2640140251540 4224224402464 5280280503080 10560561006160 21121122012320