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101233220232 = 23346310099029
BaseRepresentation
bin101111001000111111…
…0000101101010001000
3100200022010011102101010
41132101332011222020
53124311201021412
6114301135123520
710212440113524
oct1362176055210
9320263142333
10101233220232
1139a29571781
12177529735a0
139714165861
144c84b5ad84
15297763833c
hex1791f85a88

101233220232 has 64 divisors (see below), whose sum is σ = 253909152000. Its totient is φ = 33634427904.

The previous prime is 101233220177. The next prime is 101233220239. The reversal of 101233220232 is 232022332101.

It is a happy number.

It is a super-2 number, since 2×1012332202322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101233220199 and 101233220208.

It is not an unprimeable number, because it can be changed into a prime (101233220239) 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, 11207494 + ... + 11216522.

It is an arithmetic number, because the mean of its divisors is an integer number (3967330500).

Almost surely, 2101233220232 is an apocalyptic number.

101233220232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101233220232 is an abundant number, since it is smaller than the sum of its proper divisors (152675931768).

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

101233220232 is a wasteful number, since it uses less digits than its factorization.

101233220232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 101233220232 its reverse (232022332101), we get a palindrome (333255552333).

The spelling of 101233220232 in words is "one hundred one billion, two hundred thirty-three million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 463 926 1009 1389 1852 2018 2778 3027 3704 4036 5556 6054 8072 9029 11112 12108 18058 24216 27087 36116 54174 72232 108348 216696 467167 934334 1401501 1868668 2803002 3737336 4180427 5606004 8360854 9110261 11212008 12541281 16721708 18220522 25082562 27330783 33443416 36441044 50165124 54661566 72882088 100330248 109323132 218646264 4218050843 8436101686 12654152529 16872203372 25308305058 33744406744 50616610116 101233220232