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12100532052 = 22371967113161
BaseRepresentation
bin10110100010011111…
…10111011101010100
31011020022021201101210
423101033313131110
5144240214011202
65320420221420
7605601553050
oct132117673524
934208251353
1012100532052
11514a486914
12241853a870
1311aac3354b
1482b10ac60
154ac4ccc6c
hex2d13f7754

12100532052 has 96 divisors (see below), whose sum is σ = 34473671680. Its totient is φ = 3226417920.

The previous prime is 12100532039. The next prime is 12100532053. The reversal of 12100532052 is 25023500121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100532053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50352 + ... + 163512.

Almost surely, 212100532052 is an apocalyptic number.

12100532052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100532052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236835840).

12100532052 is an abundant number, since it is smaller than the sum of its proper divisors (22373139628).

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

12100532052 is a wasteful number, since it uses less digits than its factorization.

12100532052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113261 (or 113259 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 12100532052 in words is "twelve billion, one hundred million, five hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 67 76 84 114 133 134 201 228 266 268 399 402 469 532 798 804 938 1273 1407 1596 1876 2546 2814 3819 5092 5628 7638 8911 15276 17822 26733 35644 53466 106932 113161 226322 339483 452644 678966 792127 1357932 1584254 2150059 2376381 3168508 4300118 4752762 6450177 7581787 8600236 9505524 12900354 15050413 15163574 22745361 25800708 30100826 30327148 45151239 45490722 53072509 60201652 90302478 90981444 106145018 144053953 159217527 180604956 212290036 288107906 318435054 432161859 576215812 636870108 864323718 1008377671 1728647436 2016755342 3025133013 4033510684 6050266026 12100532052