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103105142131434 = 23479491602912119
BaseRepresentation
bin10111011100011000001001…
…010111110000101011101010
3111112001202101122001111012220
4113130120021113300223222
5102003233312341201214
61003141503131014510
730501046352600562
oct2734301127605352
9445052348044186
10103105142131434
112a941710873453
12b69257359a436
13456ba088b96b1
141b6645ba67da2
15bdc0048cc9a9
hex5dc6095f0aea

103105142131434 has 64 divisors (see below), whose sum is σ = 207113075712000. Its totient is φ = 34218279085760.

The previous prime is 103105142131391. The next prime is 103105142131489. The reversal of 103105142131434 is 434131241501301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103105142131395 and 103105142131404.

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, 8507720827 + ... + 8507732945.

It is an arithmetic number, because the mean of its divisors is an integer number (3236141808000).

Almost surely, 2103105142131434 is an apocalyptic number.

103105142131434 is an abundant number, since it is smaller than the sum of its proper divisors (104007933580566).

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

103105142131434 is a wasteful number, since it uses less digits than its factorization.

103105142131434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19123.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 103105142131434 its reverse (434131241501301), we get a palindrome (537236383632735).

The spelling of 103105142131434 in words is "one hundred three trillion, one hundred five billion, one hundred forty-two million, one hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 479 491 958 982 1437 1473 2874 2946 6029 12058 12119 18087 24238 36174 36357 72714 235189 470378 705567 1411134 2887891 2960239 5775782 5805001 5920478 5950429 8663673 8880717 11610002 11900858 17327346 17415003 17761434 17851287 34830006 35702574 73065451 146130902 219196353 438392706 1417954481 2835908962 2850255491 4253863443 5700510982 8507726886 8550766473 17101532946 34998351029 35875136441 69996702058 71750272882 104995053087 107625409323 209990106174 215250818646 17184190355239 34368380710478 51552571065717 103105142131434