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22032131310112 = 2571114960010817
BaseRepresentation
bin1010000001001110000010…
…10111000100001000100000
32220000020210010001000211111
411000213001113010020200
510341433301103410422
6114505231004353104
74432524516115630
oct500470127041040
986006703030744
1022032131310112
117024857825770
122579b84245794
13c3a80c641431
1456250a2326c0
1528318db3ba77
hex1409c15c4220

22032131310112 has 96 divisors (see below), whose sum is σ = 54441814089600. Its totient is φ = 8526336737280.

The previous prime is 22032131310067. The next prime is 22032131310149. The reversal of 22032131310112 is 21101313123022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29638273 + ... + 30372544.

It is an arithmetic number, because the mean of its divisors is an integer number (567102230100).

Almost surely, 222032131310112 is an apocalyptic number.

22032131310112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22032131310112 is an abundant number, since it is smaller than the sum of its proper divisors (32409682779488).

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

22032131310112 is a wasteful number, since it uses less digits than its factorization.

22032131310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60010994 (or 60010986 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 22032131310112 its reverse (21101313123022), we get a palindrome (43133444433134).

The spelling of 22032131310112 in words is "twenty-two trillion, thirty-two billion, one hundred thirty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 149 154 176 224 298 308 352 596 616 1043 1192 1232 1639 2086 2384 2464 3278 4172 4768 6556 8344 11473 13112 16688 22946 26224 33376 45892 52448 91784 183568 367136 60010817 120021634 240043268 420075719 480086536 660118987 840151438 960173072 1320237974 1680302876 1920346144 2640475948 3360605752 4620832909 5280951896 6721211504 8941611733 9241665818 10561903792 13442423008 17883223466 18483331636 21123807584 35766446932 36966663272 62591282131 71532893864 73933326544 98357729063 125182564262 143065787728 147866653088 196715458126 250365128524 286131575456 393430916252 500730257048 688504103441 786861832504 1001460514096 1377008206882 1573723665008 2002921028192 2754016413764 3147447330016 5508032827528 11016065655056 22032131310112