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121100102230032 = 243217329711500379
BaseRepresentation
bin11011100010001111010000…
…100100110110000000010000
3120212210001112100012121220200
4123202033100210312000100
5111333101002132330112
61105320341405335200
734336123265642352
oct3342172044660020
9525701470177820
10121100102230032
113564a2a06aa132
12116ba017267500
1352758c9449793
1421c93c1d490d2
15e0015909bcdc
hex6e23d0936010

121100102230032 has 120 divisors (see below), whose sum is σ = 358859219977440. Its totient is φ = 37991011322880.

The previous prime is 121100102230013. The next prime is 121100102230061. The reversal of 121100102230032 is 230032201001121.

121100102230032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121100102229987 and 121100102230014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79962819 + ... + 81463197.

It is an arithmetic number, because the mean of its divisors is an integer number (2990493499812).

Almost surely, 2121100102230032 is an apocalyptic number.

121100102230032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121100102230032 is an abundant number, since it is smaller than the sum of its proper divisors (237759117747408).

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

121100102230032 is a wasteful number, since it uses less digits than its factorization.

121100102230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533381 (or 1533372 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121100102230032 its reverse (230032201001121), we get a palindrome (351132303231153).

The spelling of 121100102230032 in words is "one hundred twenty-one trillion, one hundred billion, one hundred two million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 32971 65942 98913 131884 197826 263768 296739 395652 527536 560507 593478 791304 1121014 1186956 1500379 1582608 1681521 2242028 2373912 3000758 3363042 4484056 4501137 4747824 5044563 6001516 6726084 8968112 9002274 10089126 12003032 13452168 13503411 18004548 20178252 24006064 25506443 26904336 27006822 36009096 40356504 51012886 54013644 72018192 76519329 80713008 102025772 108027288 153038658 204051544 216054576 229557987 306077316 408103088 459115974 612154632 918231948 1224309264 1836463896 3672927792 49468996009 98937992018 148406988027 197875984036 296813976054 395751968072 445220964081 593627952108 791503936144 840972932153 890441928162 1187255904216 1681945864306 1780883856324 2374511808432 2522918796459 3363891728612 3561767712648 5045837592918 6727783457224 7123535425296 7568756389377 10091675185836 13455566914448 15137512778754 20183350371672 30275025557508 40366700743344 60550051115016 121100102230032