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103132231312 = 24114314999091
BaseRepresentation
bin110000000001100101…
…0001111011010010000
3100212012110111011211211
41200003022033122100
53142203322400222
6115213413345504
710310466334135
oct1400312173220
9325173434754
10103132231312
113a813501920
1217ba2938294
139957711256
144dc504858c
152a391ed277
hex180328f690

103132231312 has 80 divisors (see below), whose sum is σ = 223226784000. Its totient is φ = 45752515200.

The previous prime is 103132231283. The next prime is 103132231333. The reversal of 103132231312 is 213132231301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11339887 + ... + 11348977.

It is an arithmetic number, because the mean of its divisors is an integer number (2790334800).

Almost surely, 2103132231312 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 103132231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111613392000).

103132231312 is an abundant number, since it is smaller than the sum of its proper divisors (120094552688).

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

103132231312 is a wasteful number, since it uses less digits than its factorization.

103132231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103132231312 its reverse (213132231301), we get a palindrome (316264462613).

The spelling of 103132231312 in words is "one hundred three billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1499 1892 2998 3784 5996 7568 9091 11992 16489 18182 23984 32978 36364 64457 65956 72728 100001 128914 131912 145456 200002 257828 263824 390913 400004 515656 709027 781826 800008 1031312 1418054 1563652 1600016 2836108 3127304 4300043 5672216 6254608 8600086 11344432 13627409 17200172 27254818 34400344 54509636 68800688 109019272 149901499 218038544 299802998 585978587 599605996 1171957174 1199211992 2343914348 2398423984 4687828696 6445764457 9375657392 12891528914 25783057828 51566115656 103132231312