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100045029 = 3731227677
BaseRepresentation
bin1011111011010…
…01000011100101
320222020210222110
411331221003211
5201102420104
613532151233
72323240320
oct575510345
9228223873
10100045029
1151522347
1229608519
131795b156
14d4037b7
158bb2e89
hex5f690e5

100045029 has 32 divisors (see below), whose sum is σ = 158294016. Its totient is φ = 54999360.

The previous prime is 100045021. The next prime is 100045037. The reversal of 100045029 is 920540001.

It is an interprime number because it is at equal distance from previous prime (100045021) and next prime (100045037).

It is not a de Polignac number, because 100045029 - 23 = 100045021 is a prime.

It is a super-2 number, since 2×1000450292 = 20018015655221682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100044996 and 100045014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100045021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147439 + ... + 148115.

It is an arithmetic number, because the mean of its divisors is an integer number (4946688).

Almost surely, 2100045029 is an apocalyptic number.

It is an amenable number.

100045029 is a deficient number, since it is larger than the sum of its proper divisors (58248987).

100045029 is a wasteful number, since it uses less digits than its factorization.

100045029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100045029 is about 10002.2511966057. The cubic root of 100045029 is about 464.2285416080.

The spelling of 100045029 in words is "one hundred million, forty-five thousand, twenty-nine".

Divisors: 1 3 7 21 31 93 217 227 651 677 681 1589 2031 4739 4767 7037 14217 20987 21111 49259 62961 146909 147777 153679 440727 461037 1075753 3227259 4764049 14292147 33348343 100045029