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141117634100 = 225217194368967
BaseRepresentation
bin1000001101101101000…
…1000011011000110100
3111111020201201120111202
42003123101003120310
54303002103242400
6144454544352032
713124012045522
oct2033321033064
9444221646452
10141117634100
1154936253193
1223424015618
13103cc2a8251
146b89c3b312
153a0dddc4d5
hex20db443634

141117634100 has 72 divisors (see below), whose sum is σ = 341303780160. Its totient is φ = 50330488320.

The previous prime is 141117634039. The next prime is 141117634127. The reversal of 141117634100 is 1436711141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152184 + ... + 2216783.

It is an arithmetic number, because the mean of its divisors is an integer number (4740330280).

Almost surely, 2141117634100 is an apocalyptic number.

141117634100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141117634100 is an abundant number, since it is smaller than the sum of its proper divisors (200186146060).

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

141117634100 is a wasteful number, since it uses less digits than its factorization.

141117634100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369017 (or 4369010 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 141117634100 in words is "one hundred forty-one billion, one hundred seventeen million, six hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 4368967 8737934 17475868 21844835 43689670 74272439 83010373 87379340 109224175 148544878 166020746 218448350 297089756 332041492 371362195 415051865 436896700 742724390 830103730 1411176341 1485448780 1660207460 1856810975 2075259325 2822352682 3713621950 4150518650 5644705364 7055881705 7427243900 8301037300 14111763410 28223526820 35279408525 70558817050 141117634100