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102101003431 = 7531991382939
BaseRepresentation
bin101111100010110110…
…0011010110010100111
3100202112121001101010121
41133011230122302213
53133100324102211
6114523214502411
710243105131640
oct1370554326247
9322477041117
10102101003431
113a33439a079
1217955504a07
139821b8c23b
144d280cc6c7
1529c88ee271
hex17c5b1aca7

102101003431 has 16 divisors (see below), whose sum is σ = 119486016000. Its totient is φ = 85432377888.

The previous prime is 102101003429. The next prime is 102101003447. The reversal of 102101003431 is 134300101201.

It is a cyclic number.

It is not a de Polignac number, because 102101003431 - 21 = 102101003429 is a prime.

It is a super-2 number, since 2×1021010034312 (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 (102101003461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617641 + ... + 765298.

It is an arithmetic number, because the mean of its divisors is an integer number (7467876000).

Almost surely, 2102101003431 is an apocalyptic number.

102101003431 is a deficient number, since it is larger than the sum of its proper divisors (17385012569).

102101003431 is a wasteful number, since it uses less digits than its factorization.

102101003431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383198.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102101003431 its reverse (134300101201), we get a palindrome (236401104632).

The spelling of 102101003431 in words is "one hundred two billion, one hundred one million, three thousand, four hundred thirty-one".

Divisors: 1 7 53 199 371 1393 10547 73829 1382939 9680573 73295767 275204861 513070369 1926434027 14585857633 102101003431