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107151829629 = 31371225117191
BaseRepresentation
bin110001111001010111…
…1110010101001111101
3101020120121001221010120
41203302233302221331
53223421332022004
6121120323325153
710512215344515
oct1436257625175
9336517057116
10107151829629
11414964615a9
1218924b207b9
13a1484052b0
145286c20845
152bc20453d9
hex18f2bf2a7d

107151829629 has 32 divisors (see below), whose sum is σ = 156104460288. Its totient is φ = 64978200000.

The previous prime is 107151829571. The next prime is 107151829637. The reversal of 107151829629 is 926928151701.

It is not a de Polignac number, because 107151829629 - 217 = 107151698557 is a prime.

It is a super-2 number, since 2×1071518296292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107151829699) 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, 6224424 + ... + 6241614.

It is an arithmetic number, because the mean of its divisors is an integer number (4878264384).

Almost surely, 2107151829629 is an apocalyptic number.

It is an amenable number.

107151829629 is a deficient number, since it is larger than the sum of its proper divisors (48952630659).

107151829629 is a wasteful number, since it uses less digits than its factorization.

107151829629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19529.

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 107151829629 in words is "one hundred seven billion, one hundred fifty-one million, eight hundred twenty-nine thousand, six hundred twenty-nine".

Divisors: 1 3 13 39 71 213 923 2251 2769 6753 17191 29263 51573 87789 159821 223483 479463 670449 1220561 2077673 3661683 6233019 15867293 38696941 47601879 116090823 503060233 1509180699 2747482811 8242448433 35717276543 107151829629