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31001103120 = 2435132764327
BaseRepresentation
bin11100110111110011…
…110100101100010000
32222000112001012200110
4130313303310230100
51001442240244440
622124113121320
72145144012561
oct346763645420
988015035613
1031001103120
1112169350689
126012259240
132c008ca400
1417013a2168
15c16977080
hex737cf4b10

31001103120 has 120 divisors (see below), whose sum is σ = 104064785856. Its totient is φ = 7631030784.

The previous prime is 31001103109. The next prime is 31001103149. The reversal of 31001103120 is 2130110013.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×310011031202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31001103096 and 31001103105.

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 23 ways as a sum of consecutive naturals, for example, 341604 + ... + 422723.

Almost surely, 231001103120 is an apocalyptic number.

31001103120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31001103120 is an abundant number, since it is smaller than the sum of its proper divisors (73063682736).

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

31001103120 is a wasteful number, since it uses less digits than its factorization.

31001103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764369 (or 764350 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31001103120 its reverse (2130110013), we get a palindrome (33131213133).

The spelling of 31001103120 in words is "thirty-one billion, one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 764327 1528654 2292981 3057308 3821635 4585962 6114616 7643270 9171924 9936251 11464905 12229232 15286540 18343848 19872502 22929810 29808753 30573080 36687696 39745004 45859620 49681255 59617506 61146160 79490008 91719240 99362510 119235012 129171263 149043765 158980016 183438480 198725020 238470024 258342526 298087530 387513789 397450040 476940048 516685052 596175060 645856315 775027578 794900080 1033370104 1192350120 1291712630 1550055156 1937568945 2066740208 2384700240 2583425260 3100110312 3875137890 5166850520 6200220624 7750275780 10333701040 15500551560 31001103120