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103132011103030 = 25731319121731343
BaseRepresentation
bin10111011100110001001010…
…111000110000001100110110
3111112011022202011202200002001
4113130301022320300030312
5102004203324320244110
61003202105234205514
730503020243231000
oct2734611270601466
9445138664680061
10103132011103030
112a9520496924a8
12b697811a2389a
1345713cb3b1660
141b6788a31d370
15bdca786ce63a
hex5dcc4ae30336

103132011103030 has 128 divisors (see below), whose sum is σ = 245410389504000. Its totient is φ = 30921708569472.

The previous prime is 103132011103001. The next prime is 103132011103063. The reversal of 103132011103030 is 30301110231301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 103132011102989 and 103132011103007.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 60018462 + ... + 61712881.

It is an arithmetic number, because the mean of its divisors is an integer number (1917268668000).

Almost surely, 2103132011103030 is an apocalyptic number.

103132011103030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103132011103030 is an abundant number, since it is smaller than the sum of its proper divisors (142278378400970).

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

103132011103030 is a wasteful number, since it uses less digits than its factorization.

103132011103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121731403 (or 121731389 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 103132011103030 its reverse (30301110231301), we get a palindrome (133433121334331).

The spelling of 103132011103030 in words is "one hundred three trillion, one hundred thirty-two billion, eleven million, one hundred three thousand, thirty".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 49 65 70 91 95 98 130 133 182 190 245 247 266 343 455 490 494 637 665 686 910 931 1235 1274 1330 1715 1729 1862 2470 3185 3430 3458 4459 4655 6370 6517 8645 8918 9310 12103 13034 17290 22295 24206 32585 44590 60515 65170 84721 121030 169442 423605 847210 121731343 243462686 608656715 852119401 1217313430 1582507459 1704238802 2312895517 3165014918 4260597005 4625791034 5964835807 7912537295 8521194010 11077552213 11564477585 11929671614 15825074590 16190268619 22155104426 23128955170 29824179035 30067641721 32380537238 41753850649 55387761065 59648358070 60135283442 77542865491 80951343095 83507701298 110775522130 113331880333 150338208605 155085730982 161902686190 208769253245 210473492047 226663760666 300676417210 387714327455 417538506490 420946984094 542800058437 566659401665 775428654910 793323162331 1052367460235 1085600116874 1133318803330 1473314444329 1586646324662 2104734920470 2714000292185 2946628888658 3966615811655 5428000584370 7366572221645 7933231623310 10313201110303 14733144443290 20626402220606 51566005551515 103132011103030