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13210012332 = 22341111332801
BaseRepresentation
bin11000100110110000…
…01100101010101100
31021002121222011020000
430103120030222230
5204023230343312
610022452224300
7645233152326
oct142330145254
937077864200
1013210012332
115669786870
12268800b090
131326a5335a
148d45d6616
15524ad7adc
hex31360caac

13210012332 has 120 divisors (see below), whose sum is σ = 38007546192. Its totient is φ = 3967488000.

The previous prime is 13210012307. The next prime is 13210012337. The reversal of 13210012332 is 23321001231.

13210012332 is a `hidden beast` number, since 1 + 321 + 0 + 0 + 12 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13210012337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386332 + ... + 419132.

Almost surely, 213210012332 is an apocalyptic number.

13210012332 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 13210012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003773096).

13210012332 is an abundant number, since it is smaller than the sum of its proper divisors (24797533860).

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

13210012332 is a wasteful number, since it uses less digits than its factorization.

13210012332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32941 (or 32930 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13210012332 its reverse (23321001231), we get a palindrome (36531013563).

The spelling of 13210012332 in words is "thirteen billion, two hundred ten million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 113 132 162 198 226 297 324 339 396 452 594 678 891 1017 1188 1243 1356 1782 2034 2486 3051 3564 3729 4068 4972 6102 7458 9153 11187 12204 14916 18306 22374 32801 33561 36612 44748 65602 67122 98403 100683 131204 134244 196806 201366 295209 360811 393612 402732 590418 721622 885627 1082433 1180836 1443244 1771254 2164866 2656881 3247299 3542508 3706513 4329732 5313762 6494598 7413026 9741897 10627524 11119539 12989196 14826052 19483794 22239078 29225691 33358617 38967588 40771643 44478156 58451382 66717234 81543286 100075851 116902764 122314929 133434468 163086572 200151702 244629858 300227553 366944787 400303404 489259716 600455106 733889574 1100834361 1200910212 1467779148 2201668722 3302503083 4403337444 6605006166 13210012332