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21304211240312 = 23711133011883549
BaseRepresentation
bin1001101100000010001011…
…11100010111010101111000
32210102122220010000010120022
410312001011330113111320
510243022011034142222
6113151004115150012
74326115133450660
oct466010574272570
983378803003508
1021304211240312
116874079933420
122480a952a5308
13bb6c949c1140
145391b4c271a0
1526e28885b042
hex136045f17578

21304211240312 has 128 divisors (see below), whose sum is σ = 53650852416000. Its totient is φ = 7659300902400.

The previous prime is 21304211240239. The next prime is 21304211240353.

It is a happy number.

21304211240312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23670314 + ... + 24553862.

It is an arithmetic number, because the mean of its divisors is an integer number (419147284500).

Almost surely, 221304211240312 is an apocalyptic number.

21304211240312 is a gapful number since it is divisible by the number (22) 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 21304211240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26825426208000).

21304211240312 is an abundant number, since it is smaller than the sum of its proper divisors (32346641175688).

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

21304211240312 is a wasteful number, since it uses less digits than its factorization.

21304211240312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886597 (or 886593 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2130421 and 1240312, that added together give a palindrome (3370733).

The spelling of 21304211240312 in words is "twenty-one trillion, three hundred four billion, two hundred eleven million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 3011 4004 6022 8008 12044 21077 24088 33121 39143 42154 66242 78286 84308 132484 156572 168616 231847 264968 274001 313144 430573 463694 548002 861146 883549 927388 1096004 1722292 1767098 1854776 2192008 3014011 3444584 3534196 6028022 6184843 7068392 9719039 11486137 12056044 12369686 19438078 22972274 24112088 24739372 38876156 45944548 49478744 68033273 77752312 80402959 91889096 126347507 136066546 160805918 252695014 272133092 321611836 505390028 544266184 643223672 884432549 1010780056 1768865098 2660366039 3537730196 5320732078 7075460392 10641464156 18622562273 21282928312 29264026429 34584758507 37245124546 58528052858 69169517014 74490249092 117056105716 138339034028 148980498184 204848185003 234112211432 242093309549 276678068056 380432343577 409696370006 484186619098 760864687154 819392740012 968373238196 1521729374308 1638785480024 1936746476392 2663026405039 3043458748616 5326052810078 10652105620156 21304211240312