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105311001142206 = 23241936229385417
BaseRepresentation
bin10111111100011110100000…
…110100000110001110111110
3111210212122002201221121111100
4113330132200310012032332
5102300403412243022311
61011551112301033530
731116316532040666
oct2774364064061676
9453778081847440
10105311001142206
11306121657689a2
12b989b892558a6
13469ba282732c2
141c011187c71a6
15c295aa3b7a56
hex5fc7a0d063be

105311001142206 has 48 divisors (see below), whose sum is σ = 228725310013200. Its totient is φ = 35018829926784.

The previous prime is 105311001142189. The next prime is 105311001142213. The reversal of 105311001142206 is 602241100113501.

105311001142206 is a `hidden beast` number, since 1 + 0 + 5 + 311 + 0 + 0 + 1 + 142 + 206 = 666.

It is a super-2 number, since 2×1053110011422062 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105311001142206.

It is a congruent number.

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, 273046410 + ... + 273431826.

It is an arithmetic number, because the mean of its divisors is an integer number (4765110625275).

Almost surely, 2105311001142206 is an apocalyptic number.

105311001142206 is an abundant number, since it is smaller than the sum of its proper divisors (123414308870994).

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

105311001142206 is a wasteful number, since it uses less digits than its factorization.

105311001142206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422073 (or 422070 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 105311001142206 its reverse (602241100113501), we get a palindrome (707552101255707).

The spelling of 105311001142206 in words is "one hundred five trillion, three hundred eleven billion, one million, one hundred forty-two thousand, two hundred six".

Divisors: 1 2 3 6 9 18 419 838 1257 2514 3771 7542 36229 72458 108687 217374 326061 385417 652122 770834 1156251 2312502 3468753 6937506 15179951 30359902 45539853 91079706 136619559 161489723 273239118 322979446 484469169 968938338 1453407507 2906815014 13963272493 27926544986 41889817479 83779634958 125669452437 251338904874 5850611174567 11701222349134 17551833523701 35103667047402 52655500571103 105311001142206