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130697830344 = 233192937326497
BaseRepresentation
bin111100110111000110…
…0101001111111001000
3110111100120000200220010
41321232030221333020
54120132121032334
6140013004031520
712304546141104
oct1715614517710
9414316020803
10130697830344
1150479577424
12213b65325a0
13c42b6344b3
14647c03a904
1535ee2580e9
hex1e6e329fc8

130697830344 has 128 divisors (see below), whose sum is σ = 356769072000. Its totient is φ = 39741456384.

The previous prime is 130697830331. The next prime is 130697830357. The reversal of 130697830344 is 443038796031.

It is an interprime number because it is at equal distance from previous prime (130697830331) and next prime (130697830357).

It is a junction number, because it is equal to n+sod(n) for n = 130697830293 and 130697830302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4919304 + ... + 4945800.

It is an arithmetic number, because the mean of its divisors is an integer number (2787258375).

Almost surely, 2130697830344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130697830344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178384536000).

130697830344 is an abundant number, since it is smaller than the sum of its proper divisors (226071241656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130697830344 is a wasteful number, since it uses less digits than its factorization.

130697830344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26927 (or 26923 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 130697830344 in words is "one hundred thirty billion, six hundred ninety-seven million, eight hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 373 456 551 696 746 1102 1119 1492 1653 2204 2238 2984 3306 4408 4476 6612 7087 8952 10817 13224 14174 21261 21634 26497 28348 32451 42522 43268 52994 56696 64902 79491 85044 86536 105988 129804 158982 170088 205523 211976 259608 317964 411046 503443 616569 635928 768413 822092 1006886 1233138 1510329 1536826 1644184 2013772 2305239 2466276 3020658 3073652 4027544 4610478 4932552 6041316 6147304 9220956 9883381 12082632 14599847 18441912 19766762 29199694 29650143 39533524 43799541 58399388 59300286 79067048 87599082 116798776 118600572 175198164 187784239 237201144 286618049 350396328 375568478 563352717 573236098 751136956 859854147 1126705434 1146472196 1502273912 1719708294 2253410868 2292944392 3439416588 4506821736 5445742931 6878833176 10891485862 16337228793 21782971724 32674457586 43565943448 65348915172 130697830344