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100155412 = 2272618377
BaseRepresentation
bin1011111100001…
…00000000010100
320222110102101201
411332010000110
5201114433122
613534402244
72324210200
oct576040024
9228412351
10100155412
1151598275
1229660384
1317999476
14d431b00
158bd5a27
hex5f84014

100155412 has 36 divisors (see below), whose sum is σ = 207254964. Its totient is φ = 42215040.

The previous prime is 100155383. The next prime is 100155437. The reversal of 100155412 is 214551001.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 92236816 = 2814^2 + 9604^2 .

It is a super-2 number, since 2×1001554122 = 20062213105779488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100155412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7768 + ... + 16144.

Almost surely, 2100155412 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 100155412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103627482).

100155412 is an abundant number, since it is smaller than the sum of its proper divisors (107099552).

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

100155412 is a wasteful number, since it uses less digits than its factorization.

100155412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 100155412 is about 10007.7675832325. The cubic root of 100155412 is about 464.3992117724.

The spelling of 100155412 in words is "one hundred million, one hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 5978 8377 11956 16754 33508 58639 117278 234556 410473 510997 820946 1021994 1641892 2043988 3576979 7153958 14307916 25038853 50077706 100155412