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20332232111032 = 23192319739774363
BaseRepresentation
bin1001001111101111101110…
…11110001111001110111000
32122222202001012210102110221
410213313313132033032320
510131110402410023112
6111124255401145424
74165645444252402
oct447676736171670
978882035712427
1020332232111032
11652993aa6a426
12234463348b274
13b46423a6cb9a
1450412a043b72
15253d4c0cee07
hex127df778f3b8

20332232111032 has 128 divisors (see below), whose sum is σ = 42193300723200. Its totient is φ = 9142342691328.

The previous prime is 20332232111021. The next prime is 20332232111143. The reversal of 20332232111032 is 23011123223302.

It is a super-2 number, since 2×203322321110322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20332232110988 and 20332232111006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273381483 + ... + 273455845.

It is an arithmetic number, because the mean of its divisors is an integer number (329635161900).

Almost surely, 220332232111032 is an apocalyptic number.

It is an amenable number.

20332232111032 is an abundant number, since it is smaller than the sum of its proper divisors (21861068612168).

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

20332232111032 is a wasteful number, since it uses less digits than its factorization.

20332232111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75005 (or 75001 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 20332232111032 its reverse (23011123223302), we get a palindrome (43343355334334).

The spelling of 20332232111032 in words is "twenty trillion, three hundred thirty-two billion, two hundred thirty-two million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 197 394 397 437 788 794 874 1576 1588 1748 3176 3496 3743 4531 7486 7543 9062 9131 14972 15086 18124 18262 29944 30172 36248 36524 60344 73048 74363 78209 86089 148726 156418 172178 173489 297452 312836 344356 346978 594904 625672 688712 693956 1387912 1412897 1485971 1710349 1798807 2825794 2971942 3420698 3597614 5651588 5943884 6841396 7195228 11303176 11887768 13682792 14390456 14649511 29299022 29522111 32496631 34177333 58598044 59044222 64993262 68354666 117196088 118088444 129986524 136709332 236176888 259973048 273418664 278340709 336938753 556681418 560920109 673877506 679008553 1113362836 1121840218 1347755012 1358017106 2226725672 2243680436 2695510024 2716034212 4487360872 5432068424 5815855867 6401836307 11631711734 12803672614 12901162507 23263423468 25607345228 25802325014 46526846936 51214690456 51604650028 103209300056 110501261473 133764684941 221002522946 267529369882 442005045892 535058739764 884010091784 1070117479528 2541529013879 5083058027758 10166116055516 20332232111032