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10114134020130 = 2357241291666351
BaseRepresentation
bin1001001100101110000101…
…0111011001000000100010
31022210220100101112012201010
42103023201113121000202
52311202221302121010
633302211413121350
72062502445454500
oct223134127310042
938726311465633
1010114134020130
11324a41aa85698
12117422b029256
135849b2c6c38a
1426d753391670
15128159e35620
hex932e15d9022

10114134020130 has 96 divisors (see below), whose sum is σ = 28243866551040. Its totient is φ = 2311240780800.

The previous prime is 10114134020113. The next prime is 10114134020147. The reversal of 10114134020130 is 3102043141101.

It is an interprime number because it is at equal distance from previous prime (10114134020113) and next prime (10114134020147).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10114134020097 and 10114134020106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5236455 + ... + 6902805.

It is an arithmetic number, because the mean of its divisors is an integer number (294206943240).

Almost surely, 210114134020130 is an apocalyptic number.

10114134020130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10114134020130 is an abundant number, since it is smaller than the sum of its proper divisors (18129732530910).

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

10114134020130 is a wasteful number, since it uses less digits than its factorization.

10114134020130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670504 (or 1670497 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10114134020130 its reverse (3102043141101), we get a palindrome (13216177161231).

The spelling of 10114134020130 in words is "ten trillion, one hundred fourteen billion, one hundred thirty-four million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 4129 8258 12387 20645 24774 28903 41290 57806 61935 86709 123870 144515 173418 202321 289030 404642 433545 606963 867090 1011605 1213926 1666351 2023210 3034815 3332702 4999053 6069630 8331755 9998106 11664457 16663510 23328914 24995265 34993371 49990530 58322285 69986742 81651199 116644570 163302398 174966855 244953597 349933710 408255995 489907194 816511990 1224767985 2449535970 6880363279 13760726558 20641089837 34401816395 41282179674 48162542953 68803632790 96325085906 103205449185 144487628859 206410898370 240812714765 288975257718 337137800671 481625429530 674275601342 722438144295 1011413402013 1444876288590 1685689003355 2022826804026 3371378006710 5057067010065 10114134020130