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102101430430 = 2531797975231
BaseRepresentation
bin101111100010110111…
…0000011000010011110
3100202112121212001212101
41133011232003002132
53133100431233210
6114523231555314
710243111560556
oct1370556030236
9322477761771
10102101430430
113a33466096a
121795568bb3a
139821cab6bc
144d281a0166
1529c8985a3a
hex17c5b8309e

102101430430 has 64 divisors (see below), whose sum is σ = 192390266880. Its totient is φ = 38966428800.

The previous prime is 102101430383. The next prime is 102101430463. The reversal of 102101430430 is 34034101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101430398 and 102101430407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19515915 + ... + 19521145.

It is an arithmetic number, because the mean of its divisors is an integer number (3006097920).

Almost surely, 2102101430430 is an apocalyptic number.

102101430430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101430430 is a deficient number, since it is larger than the sum of its proper divisors (90288836450).

102101430430 is a wasteful number, since it uses less digits than its factorization.

102101430430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102101430430 its reverse (34034101201), we get a palindrome (136135531631).

The spelling of 102101430430 in words is "one hundred two billion, one hundred one million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 5 10 31 62 79 155 158 310 395 790 797 1594 2449 3985 4898 5231 7970 10462 12245 24490 24707 26155 49414 52310 62963 123535 125926 162161 247070 314815 324322 413249 629630 810805 826498 1621610 1951853 2066245 3903706 4132490 4169107 8338214 9759265 12810719 19518530 20845535 25621438 41691070 64053595 128107190 129242317 258484634 329359453 646211585 658718906 1292423170 1646797265 3293594530 10210143043 20420286086 51050715215 102101430430