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2130613641234 = 234132693375673
BaseRepresentation
bin11111000000010010011…
…110000010000000010010
321112200111010110022010000
4133000102132002000102
5234401444043004414
64310442420350430
7306634410064641
oct37002236020022
97480433408100
102130613641234
11751651945731
122a4b16245416
13125bba5cc810
147519d653358
153a64eb55b09
hex1f012782012

2130613641234 has 80 divisors (see below), whose sum is σ = 5143318171992. Its totient is φ = 655328247552.

The previous prime is 2130613641217. The next prime is 2130613641241. The reversal of 2130613641234 is 4321463160312.

2130613641234 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 1 + 3 + 641 + 2 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1592525374209 + 538088267025 = 1261953^2 + 733545^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5483622 + ... + 5859294.

Almost surely, 22130613641234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130613641234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571659085996).

2130613641234 is an abundant number, since it is smaller than the sum of its proper divisors (3012704530758).

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

2130613641234 is a wasteful number, since it uses less digits than its factorization.

2130613641234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378393 (or 378384 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2130613641234 in words is "two trillion, one hundred thirty billion, six hundred thirteen million, six hundred forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 2693 5386 8079 16158 24237 35009 48474 70018 72711 105027 145422 210054 218133 315081 375673 436266 630162 751346 945243 1127019 1890486 2254038 2835729 3381057 4883749 5671458 6762114 9767498 10143171 14651247 20286342 29302494 30429513 43953741 60859026 87907482 131861223 263722446 395583669 791167338 1011687389 2023374778 3035062167 6070124334 9105186501 13151936057 18210373002 26303872114 27315559503 39455808171 54631119006 78911616342 81946678509 118367424513 163893357018 236734849026 355102273539 710204547078 1065306820617 2130613641234