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100750212 = 223223271449
BaseRepresentation
bin1100000000101…
…01001110000100
321000120122022100
412000111032010
5201243001322
613555232100
72332235253
oct600251604
9230518270
10100750212
1151964142
12298a8630
1317b47114
14d54879a
158ca1dac
hex6015384

100750212 has 72 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 31933440.

The previous prime is 100750159. The next prime is 100750213. The reversal of 100750212 is 212057001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100750213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224164 + ... + 224612.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2100750212 is an apocalyptic number.

100750212 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 100750212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

100750212 is an abundant number, since it is smaller than the sum of its proper divisors (166571388).

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

100750212 is a wasteful number, since it uses less digits than its factorization.

100750212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100750212 is about 10037.4405104090. The cubic root of 100750212 is about 465.3167179796.

The spelling of 100750212 in words is "one hundred million, seven hundred fifty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 271 276 414 449 542 813 828 898 1084 1347 1626 1796 2439 2694 3252 4041 4878 5388 6233 8082 9756 10327 12466 16164 18699 20654 24932 30981 37398 41308 56097 61962 74796 92943 112194 121679 123924 185886 224388 243358 365037 371772 486716 730074 1095111 1460148 2190222 2798617 4380444 5597234 8395851 11194468 16791702 25187553 33583404 50375106 100750212