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100103010749 = 7173137733393
BaseRepresentation
bin101110100111010011…
…0101011100110111101
3100120101100110211102122
41131032212223212331
53120002332320444
6113553042532325
710142434360250
oct1351646534675
9316340424378
10100103010749
11394a95a3655
12174983670a5
139593c68751
144bb89d7097
15290d2d64ee
hex174e9ab9bd

100103010749 has 32 divisors (see below), whose sum is σ = 128420222976. Its totient is φ = 76038082560.

The previous prime is 100103010599. The next prime is 100103010767. The reversal of 100103010749 is 947010301001.

It is a cyclic number.

It is not a de Polignac number, because 100103010749 - 28 = 100103010493 is a prime.

It is a super-2 number, since 2×1001030107492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103010769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230204 + ... + 503189.

It is an arithmetic number, because the mean of its divisors is an integer number (4013131968).

Almost surely, 2100103010749 is an apocalyptic number.

It is an amenable number.

100103010749 is a deficient number, since it is larger than the sum of its proper divisors (28317212227).

100103010749 is a wasteful number, since it uses less digits than its factorization.

100103010749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733485.

The product of its (nonzero) digits is 756, while the sum is 26.

The spelling of 100103010749 in words is "one hundred billion, one hundred three million, ten thousand, seven hundred forty-nine".

Divisors: 1 7 17 31 37 119 217 259 527 629 1147 3689 4403 8029 19499 136493 733393 5133751 12467681 22735183 27135541 87273767 159146281 189948787 386498111 461304197 841201771 2705486777 3229129379 5888412397 14300430107 100103010749