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101332751232 = 2731019258967
BaseRepresentation
bin101111001011111100…
…1110001001110000000
3100200120001110010020110
41132113321301032000
53130012141014412
6114315052311320
710215056113416
oct1362771611600
9320501403213
10101332751232
1139a7a7728a9
1217780172540
13972b973a3b
144c940692b6
152981248d3c
hex1797e71380

101332751232 has 64 divisors (see below), whose sum is σ = 269430307200. Its totient is φ = 33744305664.

The previous prime is 101332751231. The next prime is 101332751293. The reversal of 101332751232 is 232157233101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 101332751232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332751231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261813 + ... + 520779.

It is an arithmetic number, because the mean of its divisors is an integer number (4209848550).

Almost surely, 2101332751232 is an apocalyptic number.

101332751232 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 101332751232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134715153600).

101332751232 is an abundant number, since it is smaller than the sum of its proper divisors (168097555968).

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

101332751232 is a wasteful number, since it uses less digits than its factorization.

101332751232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260003 (or 259991 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 101332751232 its reverse (232157233101), we get a palindrome (333489984333).

The spelling of 101332751232 in words is "one hundred one billion, three hundred thirty-two million, seven hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1019 2038 3057 4076 6114 8152 12228 16304 24456 32608 48912 65216 97824 130432 195648 258967 391296 517934 776901 1035868 1553802 2071736 3107604 4143472 6215208 8286944 12430416 16573888 24860832 33147776 49721664 99443328 263887373 527774746 791662119 1055549492 1583324238 2111098984 3166648476 4222197968 6333296952 8444395936 12666593904 16888791872 25333187808 33777583744 50666375616 101332751232