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103311202032 = 24331204119861
BaseRepresentation
bin110000000110111010…
…0111101011011110000
3100212122221020211112000
41200031310331123300
53143040131431112
6115243245334000
710315101504513
oct1401564753360
9325587224460
10103311202032
113a8a5531205
1218032867300
13998581479c
145000b14d7a
152a49ca17dc
hex180dd3d6f0

103311202032 has 80 divisors (see below), whose sum is σ = 296580972960. Its totient is φ = 34432473600.

The previous prime is 103311202003. The next prime is 103311202109. The reversal of 103311202032 is 230202113301.

103311202032 is a `hidden beast` number, since 10 + 331 + 120 + 203 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103311201996 and 103311202014.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5191782 + ... + 5211642.

It is an arithmetic number, because the mean of its divisors is an integer number (3707262162).

Almost surely, 2103311202032 is an apocalyptic number.

103311202032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103311202032 is an abundant number, since it is smaller than the sum of its proper divisors (193269770928).

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

103311202032 is a wasteful number, since it uses less digits than its factorization.

103311202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31919 (or 31907 counting only the distinct ones).

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

Adding to 103311202032 its reverse (230202113301), we get a palindrome (333513315333).

The spelling of 103311202032 in words is "one hundred three billion, three hundred eleven million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 12041 19861 24082 36123 39722 48164 59583 72246 79444 96328 108369 119166 144492 158888 178749 192656 216738 238332 288984 317776 325107 357498 433476 476664 536247 577968 650214 714996 866952 953328 1072494 1300428 1429992 1733904 2144988 2600856 2859984 4289976 5201712 8579952 239146301 478292602 717438903 956585204 1434877806 1913170408 2152316709 2869755612 3826340816 4304633418 5739511224 6456950127 8609266836 11479022448 12913900254 17218533672 25827800508 34437067344 51655601016 103311202032