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2101315545032 = 2311719715712207
BaseRepresentation
bin11110100101000000001…
…010101010011111001000
321102212212021220210201212
4132211000022222133020
5233411443234420112
64245155300432252
7304546362266564
oct36450012523710
97385767823655
102101315545032
11740187931390
1229b2ba3a8688
131231cb792512
14739c051a6a4
15399d7978522
hex1e9402aa7c8

2101315545032 has 128 divisors (see below), whose sum is σ = 4408417198080. Its totient is φ = 930967296000.

The previous prime is 2101315544983. The next prime is 2101315545041. The reversal of 2101315545032 is 2305455131012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101315545032.

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, 952112873 + ... + 952115079.

It is an arithmetic number, because the mean of its divisors is an integer number (34440759360).

Almost surely, 22101315545032 is an apocalyptic number.

2101315545032 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 2101315545032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204208599040).

2101315545032 is an abundant number, since it is smaller than the sum of its proper divisors (2307101653048).

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

2101315545032 is a wasteful number, since it uses less digits than its factorization.

2101315545032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 2101315545032 in words is "two trillion, one hundred one billion, three hundred fifteen million, five hundred forty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 71 88 97 142 194 284 388 568 776 781 1067 1562 1571 2134 2207 3124 3142 4268 4414 6248 6284 6887 8536 8828 12568 13774 17281 17656 24277 27548 34562 48554 55096 69124 75757 97108 111541 138248 151514 152387 156697 194216 214079 223082 303028 304774 313394 428158 446164 606056 609548 626788 856316 892328 1219096 1226951 1253576 1676257 1712632 1723667 2354869 2453902 3352514 3447334 3467197 4709738 4907804 6705028 6894668 6934394 9419476 9815608 10819477 13410056 13789336 13868788 15199609 18838952 21638954 27737576 30399218 38139167 43277908 60798436 76278334 86555816 119014247 121596872 152556668 167195699 238028494 246170987 305113336 334391398 336318109 476056988 492341974 668782796 672636218 952113976 984683948 1337565592 1345272436 1969367896 2690544872 2707880857 3699499199 5415761714 7398998398 10831523428 14797996796 21663046856 23878585739 29595993592 47757171478 95514342956 191028685912 262664443129 525328886258 1050657772516 2101315545032