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100270912 = 2674153103
BaseRepresentation
bin1011111101000…
…00001101000000
320222200021211111
411332200031000
5201132132122
613541053104
72325201010
oct576401500
9228607744
10100270912
1151667025
12296b7194
1317a09c01
14d461c40
158c09d77
hex5fa0340

100270912 has 112 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 40734720.

The previous prime is 100270903. The next prime is 100270921. The reversal of 100270912 is 219072001.

It is an interprime number because it is at equal distance from previous prime (100270903) and next prime (100270921).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973453 + ... + 973555.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2100270912 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 100270912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

100270912 is an abundant number, since it is smaller than the sum of its proper divisors (139375040).

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

100270912 is a wasteful number, since it uses less digits than its factorization.

100270912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 100270912 is about 10013.5364382420. The cubic root of 100270912 is about 464.5776594551.

The spelling of 100270912 in words is "one hundred million, two hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 53 56 64 82 103 106 112 164 206 212 224 287 328 371 412 424 448 574 656 721 742 824 848 1148 1312 1442 1484 1648 1696 2173 2296 2624 2884 2968 3296 3392 4223 4346 4592 5459 5768 5936 6592 8446 8692 9184 10918 11536 11872 15211 16892 17384 18368 21836 23072 23744 29561 30422 33784 34768 38213 43672 46144 59122 60844 67568 69536 76426 87344 118244 121688 135136 139072 152852 174688 223819 236488 243376 270272 305704 349376 447638 472976 486752 611408 895276 945952 973504 1222816 1566733 1790552 1891904 2445632 3133466 3581104 6266932 7162208 12533864 14324416 25067728 50135456 100270912