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2130376285312 = 271119111771293
BaseRepresentation
bin11111000000000100010…
…100100101110010000000
321112122212120211100222221
4133000010110211302000
5234401002312112222
64310403101140424
7306625465434112
oct37000424456200
97478776740887
102130376285312
1175153a968710
122a4a6a85a714
13125b80396322
1475179d093b2
153a638dbd0c7
hex1f004525c80

2130376285312 has 128 divisors (see below), whose sum is σ = 4878049550400. Its totient is φ = 916552765440.

The previous prime is 2130376285307. The next prime is 2130376285321. The reversal of 2130376285312 is 2135826730312.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29846338 + ... + 29917630.

Almost surely, 22130376285312 is an apocalyptic number.

2130376285312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130376285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439024775200).

2130376285312 is an abundant number, since it is smaller than the sum of its proper divisors (2747673265088).

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

2130376285312 is a wasteful number, since it uses less digits than its factorization.

2130376285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72454 (or 72442 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 2130376285312 in words is "two trillion, one hundred thirty billion, three hundred seventy-six million, two hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1117 1216 1408 1672 2234 2432 3344 4468 6688 8936 12287 13376 17872 21223 24574 26752 35744 42446 49148 71293 71488 84892 98296 142586 142976 169784 196592 233453 285172 339568 393184 466906 570344 679136 784223 786368 933812 1140688 1354567 1358272 1568446 1572736 1867624 2281376 2709134 2716544 3136892 3735248 4562752 5418268 6273784 7470496 9125504 10836536 12547568 14900237 14940992 21673072 25095136 29800474 29881984 43346144 50190272 59600948 79634281 86692288 100380544 119201896 159268562 173384576 238403792 318537124 476807584 637074248 875977091 953615168 1274148496 1513051339 1751954182 1907230336 2548296992 3026102678 3503908364 5096593984 6052205356 7007816728 10193187968 12104410712 14015633456 16643564729 24208821424 28031266912 33287129458 48417642848 56062533824 66574258916 96835285696 112125067648 133148517832 193670571392 266297035664 532594071328 1065188142656 2130376285312