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32213010132 = 2232536723761
BaseRepresentation
bin11110000000000010…
…111000011011010100
310002010222110110120100
4132000002320123110
51011433012311012
622444244334100
72220161032302
oct360002703324
9102128413510
1032213010132
111273044a326
1262b00a4330
133064a00454
1417b8311272
15c880658dc
hex7800b86d4

32213010132 has 108 divisors (see below), whose sum is σ = 84242834676. Its totient is φ = 10375073280.

The previous prime is 32213010119. The next prime is 32213010139. The reversal of 32213010132 is 23101031223.

It can be written as a sum of positive squares in 2 ways, for example, as 18901850256 + 13311159876 = 137484^2 + 115374^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32213010139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8563132 + ... + 8566892.

It is an arithmetic number, because the mean of its divisors is an integer number (780026247).

Almost surely, 232213010132 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 32213010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42121417338).

32213010132 is an abundant number, since it is smaller than the sum of its proper divisors (52029824544).

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

32213010132 is a wasteful number, since it uses less digits than its factorization.

32213010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3886 counting only the distinct ones).

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

Adding to 32213010132 its reverse (23101031223), we get a palindrome (55314041355).

The spelling of 32213010132 in words is "thirty-two billion, two hundred thirteen million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 67 106 134 159 201 212 268 318 402 477 603 636 804 954 1206 1908 2412 3551 3761 4489 7102 7522 8978 10653 11283 13467 14204 15044 17956 21306 22566 26934 31959 33849 40401 42612 45132 53868 63918 67698 80802 127836 135396 161604 199333 237917 251987 398666 475834 503974 597999 713751 755961 797332 951668 1007948 1195998 1427502 1511922 1793997 2141253 2267883 2391996 2855004 3023844 3587994 4282506 4535766 7175988 8565012 9071532 13355311 16883129 26710622 33766258 40065933 50649387 53421244 67532516 80131866 101298774 120197799 151948161 160263732 202597548 240395598 303896322 480791196 607792644 894805837 1789611674 2684417511 3579223348 5368835022 8053252533 10737670044 16106505066 32213010132