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103531331220 = 22354179532733
BaseRepresentation
bin110000001101011110…
…0101011111010010100
3100220020021110112222220
41200122330223322110
53144013010044340
6115321151422340
710323413536542
oct1403274537224
9326207415886
10103531331220
113a9a8812559
12180945249b0
1399bc2c8c45
145022056d92
152a5e284ed0
hex181af2be94

103531331220 has 96 divisors (see below), whose sum is σ = 300717688320. Its totient is φ = 26593981440.

The previous prime is 103531331213. The next prime is 103531331251. The reversal of 103531331220 is 22133135301.

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 31 ways as a sum of consecutive naturals, for example, 72027 + ... + 460706.

It is an arithmetic number, because the mean of its divisors is an integer number (3132475920).

Almost surely, 2103531331220 is an apocalyptic number.

103531331220 is a gapful number since it is divisible by the number (10) 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 103531331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150358844160).

103531331220 is an abundant number, since it is smaller than the sum of its proper divisors (197186357100).

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

103531331220 is a wasteful number, since it uses less digits than its factorization.

103531331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532865 (or 532863 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 103531331220 its reverse (22133135301), we get a palindrome (125664466521).

The spelling of 103531331220 in words is "one hundred three billion, five hundred thirty-one million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 79 82 123 158 164 205 237 246 316 395 410 474 492 615 790 820 948 1185 1230 1580 2370 2460 3239 4740 6478 9717 12956 16195 19434 32390 38868 48585 64780 97170 194340 532733 1065466 1598199 2130932 2663665 3196398 5327330 6392796 7990995 10654660 15981990 21842053 31963980 42085907 43684106 65526159 84171814 87368212 109210265 126257721 131052318 168343628 210429535 218420530 252515442 262104636 327630795 420859070 436841060 505030884 631288605 655261590 841718140 1262577210 1310523180 1725522187 2525154420 3451044374 5176566561 6902088748 8627610935 10353133122 17255221870 20706266244 25882832805 34510443740 51765665610 103531331220