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101224141434 = 23213795475719
BaseRepresentation
bin101111001000101101…
…1011101001001111010
3100200021111002011121100
41132101123131021322
53124301340011214
6114300212352230
710212300001653
oct1362133351172
9320244064540
10101224141434
1139a24430739
121774b915676
1397123073a0
144c8387652a
152976943309
hex17916dd27a

101224141434 has 48 divisors (see below), whose sum is σ = 239179449600. Its totient is φ = 30751632288.

The previous prime is 101224141409. The next prime is 101224141441. The reversal of 101224141434 is 434141422101.

101224141434 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 241 + 414 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101224141398 and 101224141407.

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, 2719374 + ... + 2756345.

It is an arithmetic number, because the mean of its divisors is an integer number (4982905200).

Almost surely, 2101224141434 is an apocalyptic number.

101224141434 is an abundant number, since it is smaller than the sum of its proper divisors (137955308166).

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

101224141434 is a wasteful number, since it uses less digits than its factorization.

101224141434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475819 (or 5475816 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101224141434 its reverse (434141422101), we get a palindrome (535365563535).

The spelling of 101224141434 in words is "one hundred one billion, two hundred twenty-four million, one hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 9243 18486 5475719 10951438 16427157 32854314 49281471 71184347 98562942 142368694 213553041 427106082 432581801 640659123 865163602 1281318246 1297745403 2595490806 3893236209 5623563413 7786472418 11247126826 16870690239 33741380478 50612070717 101224141434