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10031431212 = 223211612631579
BaseRepresentation
bin10010101011110101…
…10111111000101100
3221220002220111122100
421111322313320230
5131021021244322
64335224215100
7503405521065
oct112572677054
927802814570
1010031431212
114288532820
121b3b60a490
13c3b373a1a
146b23c556c
153daa1adac
hex255eb7e2c

10031431212 has 144 divisors (see below), whose sum is σ = 28240692480. Its totient is φ = 2976739200.

The previous prime is 10031431187. The next prime is 10031431253. The reversal of 10031431212 is 21213413001.

It is a super-2 number, since 2×100314312122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6352239 + ... + 6353817.

It is an arithmetic number, because the mean of its divisors is an integer number (196115920).

Almost surely, 210031431212 is an apocalyptic number.

10031431212 is a gapful number since it is divisible by the number (12) 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 10031431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120346240).

10031431212 is an abundant number, since it is smaller than the sum of its proper divisors (18209261268).

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

10031431212 is a wasteful number, since it uses less digits than its factorization.

10031431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10031431212 its reverse (21213413001), we get a palindrome (31244844213).

The spelling of 10031431212 in words is "ten billion, thirty-one million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 263 366 396 526 549 671 732 789 1052 1098 1342 1578 1579 2013 2196 2367 2684 2893 3156 3158 4026 4734 4737 5786 6039 6316 8052 8679 9468 9474 11572 12078 14211 16043 17358 17369 18948 24156 26037 28422 32086 34716 34738 48129 52074 52107 56844 64172 69476 96258 96319 104148 104214 144387 156321 176473 192516 192638 208428 288774 288957 312642 352946 385276 415277 529419 577548 577914 625284 705892 830554 866871 1058838 1059509 1155828 1245831 1588257 1661108 1733742 2117676 2119018 2491662 3176514 3178527 3467484 3737493 4238036 4568047 4983324 6353028 6357054 7474986 9136094 9535581 12714108 13704141 14949972 18272188 19071162 25331897 27408282 38142324 41112423 50663794 54816564 75995691 82224846 101327588 151991382 164449692 227987073 278650867 303982764 455974146 557301734 835952601 911948292 1114603468 1671905202 2507857803 3343810404 5015715606 10031431212