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105650022420 = 223254327135647
BaseRepresentation
bin110001001100100111…
…0110110100000010100
3101002200221011012221100
41202121032312200110
53212332401204140
6120311314350100
710430051242035
oct1423116664024
9332627135840
10105650022420
1140895757618
1218585b8b330
139c6922c587
1451835aaa8c
152b35290530
hex18993b6814

105650022420 has 72 divisors (see below), whose sum is σ = 320548161024. Its totient is φ = 28166620608.

The previous prime is 105650022391. The next prime is 105650022421. The reversal of 105650022420 is 24220056501.

105650022420 is a `hidden beast` number, since 1 + 0 + 5 + 650 + 0 + 2 + 2 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×1056500224202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105650022421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711037 + ... + 846683.

It is an arithmetic number, because the mean of its divisors is an integer number (4452057792).

Almost surely, 2105650022420 is an apocalyptic number.

105650022420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105650022420 is an abundant number, since it is smaller than the sum of its proper divisors (214898138604).

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

105650022420 is a wasteful number, since it uses less digits than its factorization.

105650022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139989 (or 139984 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105650022420 its reverse (24220056501), we get a palindrome (129870078921).

The spelling of 105650022420 in words is "one hundred five billion, six hundred fifty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4327 8654 12981 17308 21635 25962 38943 43270 51924 64905 77886 86540 129810 135647 155772 194715 259620 271294 389430 406941 542588 678235 778860 813882 1220823 1356470 1627764 2034705 2441646 2712940 4069410 4883292 6104115 8138820 12208230 24416460 586944569 1173889138 1760833707 2347778276 2934722845 3521667414 5282501121 5869445690 7043334828 8804168535 10565002242 11738891380 17608337070 21130004484 26412505605 35216674140 52825011210 105650022420