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10215213232 = 2471761281313
BaseRepresentation
bin10011000001101111…
…11100100010110000
3222100220201121011211
421200313330202300
5131410043310412
64405351245504
7511066610530
oct114067744260
928326647154
1010215213232
114372248994
121b91079894
13c6a470193
146cc9854c0
153ebc1eca7
hex260dfc8b0

10215213232 has 160 divisors (see below), whose sum is σ = 24507252864. Its totient is φ = 4025548800.

The previous prime is 10215213161. The next prime is 10215213233. The reversal of 10215213232 is 23231251201.

It is not an unprimeable number, because it can be changed into a prime (10215213233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32636308 + ... + 32636620.

Almost surely, 210215213232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10215213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253626432).

10215213232 is an abundant number, since it is smaller than the sum of its proper divisors (14292039632).

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

10215213232 is a wasteful number, since it uses less digits than its factorization.

10215213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10215213232 its reverse (23231251201), we get a palindrome (33446464433).

The spelling of 10215213232 in words is "ten billion, two hundred fifteen million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 61 68 112 119 122 136 238 244 272 281 313 427 476 488 562 626 854 952 976 1037 1124 1252 1708 1904 1967 2074 2191 2248 2504 3416 3934 4148 4382 4496 4777 5008 5321 6832 7259 7868 8296 8764 9554 10642 14518 15736 16592 17141 17528 19093 19108 21284 29036 31472 33439 34282 35056 37247 38186 38216 42568 58072 66878 68564 74494 76372 76432 85136 87953 116144 119987 133651 133756 137128 148988 152744 175906 239974 267302 267512 274256 291397 297976 305488 324581 351812 479948 534604 535024 582794 595952 615671 649162 703624 959896 1069208 1165588 1231342 1298324 1407248 1495201 1919792 2039779 2138416 2272067 2331176 2462684 2596648 2990402 4079558 4544134 4662352 4925368 5193296 5365133 5980804 8159116 9088268 9850736 10466407 10730266 11961608 16318232 18176536 20932814 21460532 23923216 32636464 36353072 37555931 41865628 42921064 75111862 83731256 85842128 91207261 150223724 167462512 182414522 300447448 364829044 600894896 638450827 729658088 1276901654 1459316176 2553803308 5107606616 10215213232