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105213206244 = 223172377329009
BaseRepresentation
bin110000111111100110…
…0100001111011100100
3101001120111012122210110
41201333030201323210
53210434040044434
6120200112053020
710413165332346
oct1417714417344
9331514178713
10105213206244
1140691126113
1218483834170
139bc989a673
145141581296
152b0bc584e9
hex187f321ee4

105213206244 has 96 divisors (see below), whose sum is σ = 271600439040. Its totient is φ = 31530999808.

The previous prime is 105213206141. The next prime is 105213206281. The reversal of 105213206244 is 442602312501.

It is a super-2 number, since 2×1052132062442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3612412 + ... + 3641420.

It is an arithmetic number, because the mean of its divisors is an integer number (2829171240).

Almost surely, 2105213206244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105213206244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135800219520).

105213206244 is an abundant number, since it is smaller than the sum of its proper divisors (166387232796).

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

105213206244 is a wasteful number, since it uses less digits than its factorization.

105213206244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29829 (or 29827 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 105213206244 its reverse (442602312501), we get a palindrome (547815518745).

The spelling of 105213206244 in words is "one hundred five billion, two hundred thirteen million, two hundred six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 773 782 1173 1546 1564 2319 2346 3092 4638 4692 9276 13141 17779 26282 29009 35558 39423 52564 53337 58018 71116 78846 87027 106674 116036 157692 174054 213348 302243 348108 493153 604486 667207 906729 986306 1208972 1334414 1479459 1813458 1972612 2001621 2668828 2958918 3626916 4003242 5917836 8006484 11342519 22423957 22685038 34027557 44847914 45370076 67271871 68055114 89695828 134543742 136110228 269087484 381207269 515751011 762414538 1031502022 1143621807 1524829076 1547253033 2063004044 2287243614 3094506066 4574487228 6189012132 8767767187 17535534374 26303301561 35071068748 52606603122 105213206244