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100370380 = 225111747571
BaseRepresentation
bin1011111101110…
…00011111001100
320222212100021111
411332320133030
5201143323010
613543141404
72326064005
oct576703714
9228770244
10100370380
1151724830
1229744864
1317a43276
14d48a1ac
158c2958a
hex5fb87cc

100370380 has 96 divisors (see below), whose sum is σ = 249080832. Its totient is φ = 33561600.

The previous prime is 100370377. The next prime is 100370383. The reversal of 100370380 is 83073001.

It is an interprime number because it is at equal distance from previous prime (100370377) and next prime (100370383).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100370383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175495 + ... + 176065.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 2100370380 is an apocalyptic number.

100370380 is a gapful number since it is divisible by the number (10) 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 100370380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416).

100370380 is an abundant number, since it is smaller than the sum of its proper divisors (148710452).

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

100370380 is a wasteful number, since it uses less digits than its factorization.

100370380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 100370380 is about 10018.5018840144. The cubic root of 100370380 is about 464.7312278826.

The spelling of 100370380 in words is "one hundred million, three hundred seventy thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 47 55 68 85 94 110 170 187 188 220 235 340 374 470 517 571 748 799 935 940 1034 1142 1598 1870 2068 2284 2585 2855 3196 3740 3995 5170 5710 6281 7990 8789 9707 10340 11420 12562 15980 17578 19414 25124 26837 31405 35156 38828 43945 48535 53674 62810 87890 97070 106777 107348 125620 134185 175780 194140 213554 268370 295207 427108 456229 533885 536740 590414 912458 1067770 1180828 1476035 1824916 2135540 2281145 2952070 4562290 5018519 5904140 9124580 10037038 20074076 25092595 50185190 100370380