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10012101330 = 2357116596577
BaseRepresentation
bin10010101001100010…
…01000101011010010
3221211202112110000210
421110301020223102
5131001044220310
64333254024550
7503052312540
oct112461105322
927752473023
1010012101330
11427862aa10
121b35048156
13c3736661a
146ad9d2d90
153d8e9d820
hex254c48ad2

10012101330 has 128 divisors (see below), whose sum is σ = 30008309760. Its totient is φ = 2076963840.

The previous prime is 10012101311. The next prime is 10012101331. The reversal of 10012101330 is 3310121001.

It is a super-3 number, since 3×100121013303 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10012101331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1519002 + ... + 1525578.

It is an arithmetic number, because the mean of its divisors is an integer number (234439920).

Almost surely, 210012101330 is an apocalyptic number.

10012101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004154880).

10012101330 is an abundant number, since it is smaller than the sum of its proper divisors (19996208430).

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

10012101330 is a wasteful number, since it uses less digits than its factorization.

10012101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10012101330 its reverse (3310121001), we get a palindrome (13322222331).

The spelling of 10012101330 in words is "ten billion, twelve million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 659 770 1155 1318 1977 2310 3295 3954 4613 6577 6590 7249 9226 9885 13154 13839 14498 19731 19770 21747 23065 27678 32885 36245 39462 43494 46039 46130 50743 65770 69195 72347 72490 92078 98655 101486 108735 138117 138390 144694 152229 197310 217041 217470 230195 253715 276234 304458 361735 434082 460390 506429 507430 690585 723470 761145 1012858 1085205 1381170 1519287 1522290 2170410 2532145 3038574 4334243 5064290 7596435 8668486 13002729 15192870 21671215 26005458 30339701 43342430 47676673 60679402 65013645 91019103 95353346 130027290 143030019 151698505 182038206 238383365 286060038 303397010 333736711 455095515 476766730 667473422 715150095 910191030 1001210133 1430300190 1668683555 2002420266 3337367110 5006050665 10012101330