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12101100232 = 23133118891987
BaseRepresentation
bin10110100010100100…
…00010001011001000
31011020100100120210111
423101102002023020
5144240340201412
65320440324104
7605606440414
oct132122021310
934210316714
1012101100232
11514a834791
122418773634
1311ab0a2050
1482b217d44
154ac5912a7
hex2d14822c8

12101100232 has 64 divisors (see below), whose sum is σ = 25249190400. Its totient is φ = 5399377920.

The previous prime is 12101100217. The next prime is 12101100233. The reversal of 12101100232 is 23200110121.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12101100233) 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, 6089143 + ... + 6091129.

It is an arithmetic number, because the mean of its divisors is an integer number (394518600).

Almost surely, 212101100232 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 12101100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12624595200).

12101100232 is an abundant number, since it is smaller than the sum of its proper divisors (13148090168).

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

12101100232 is a wasteful number, since it uses less digits than its factorization.

12101100232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12101100232 its reverse (23200110121), we get a palindrome (35301210353).

The spelling of 12101100232 in words is "twelve billion, one hundred one million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 1889 1987 3224 3778 3974 7556 7948 15112 15896 24557 25831 49114 51662 58559 61597 98228 103324 117118 123194 196456 206648 234236 246388 468472 492776 761267 800761 1522534 1601522 3045068 3203044 3753443 6090136 6406088 7506886 15013772 30027544 48794759 97589518 116356733 195179036 232713466 390358072 465426932 930853864 1512637529 3025275058 6050550116 12101100232