Search a number
-
+
121231233100032 = 2831133742582457
BaseRepresentation
bin11011100100001001011000…
…100101011010100100000000
3120220020121000002002000112120
4123210021120211122210000
5111342223031133200112
61105500505403124240
734351444653643656
oct3344113045324400
9526217002060476
10121231233100032
113569a971658670
121171b512813680
1352850966bcc53
1421d18a16aadd6
15e03781342e8c
hex6e425895a900

121231233100032 has 144 divisors (see below), whose sum is σ = 353028335080512. Its totient is φ = 36627725352960.

The previous prime is 121231233100027. The next prime is 121231233100039. The reversal of 121231233100032 is 230001332132121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121231233099975 and 121231233100011.

It is not an unprimeable number, because it can be changed into a prime (121231233100039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18444253 + ... + 24138204.

Almost surely, 2121231233100032 is an apocalyptic number.

121231233100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121231233100032 is an abundant number, since it is smaller than the sum of its proper divisors (231797101980480).

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

121231233100032 is a wasteful number, since it uses less digits than its factorization.

121231233100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42582824 (or 42582810 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 121231233100032 its reverse (230001332132121), we get a palindrome (351232565232153).

The spelling of 121231233100032 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, two hundred thirty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 337 352 384 528 674 704 768 1011 1056 1348 1408 2022 2112 2696 2816 3707 4044 4224 5392 7414 8088 8448 10784 11121 14828 16176 21568 22242 29656 32352 43136 44484 59312 64704 86272 88968 118624 129408 177936 237248 258816 355872 474496 711744 948992 1423488 2846976 42582457 85164914 127747371 170329828 255494742 340659656 468407027 510989484 681319312 936814054 1021978968 1362638624 1405221081 1873628108 2043957936 2725277248 2810442162 3747256216 4087915872 5450554496 5620884324 7494512432 8175831744 10901108992 11241768648 14350288009 14989024864 16351663488 22483537296 28700576018 29978049728 32703326976 43050864027 44967074592 57401152036 59956099456 86101728054 89934149184 114802304072 119912198912 157853168099 172203456108 179868298368 229604608144 315706336198 344406912216 359736596736 459209216288 473559504297 631412672396 688813824432 918418432576 947119008594 1262825344792 1377627648864 1836836865152 1894238017188 2525650689584 2755255297728 3673673730304 3788476034376 5051301379168 5510510595456 7576952068752 10102602758336 11021021190912 15153904137504 20205205516672 30307808275008 40410411033344 60615616550016 121231233100032