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31113300031002 = 23279291049253387
BaseRepresentation
bin1110001001100001000010…
…01100100011011000011010
311002011101212101010002211200
413010300201030203120122
513034230014301443002
6150101130330335030
76360601402460310
oct704604114433032
9132141771102750
1031113300031002
119a06092822202
1235a5b7128a476
131448c827c8147
14797c6ada00b0
1538e4dd1e4b1c
hex1c4c2132361a

31113300031002 has 96 divisors (see below), whose sum is σ = 77199215184000. Its totient is φ = 8871445223424.

The previous prime is 31113300030941. The next prime is 31113300031013. The reversal of 31113300031002 is 20013000331113.

It is a happy number.

31113300031002 is a `hidden beast` number, since 311 + 13 + 30 + 0 + 0 + 310 + 0 + 2 = 666.

It is a super-2 number, since 2×311133000310022 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122662953 + ... + 122916339.

It is an arithmetic number, because the mean of its divisors is an integer number (804158491500).

Almost surely, 231113300031002 is an apocalyptic number.

31113300031002 is an abundant number, since it is smaller than the sum of its proper divisors (46085915152998).

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

31113300031002 is a wasteful number, since it uses less digits than its factorization.

31113300031002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255380 (or 255377 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31113300031002 its reverse (20013000331113), we get a palindrome (51126300362115).

The spelling of 31113300031002 in words is "thirty-one trillion, one hundred thirteen billion, three hundred million, thirty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 929 1049 1858 2098 2787 3147 5574 6294 6503 7343 8361 9441 13006 14686 16722 18882 19509 22029 39018 44058 58527 66087 117054 132174 253387 506774 760161 974521 1520322 1773709 1949042 2280483 2923563 3547418 4560966 5321127 5847126 6821647 8770689 10642254 13643294 15963381 17541378 20464941 31926762 40929882 61394823 122789646 235396523 265802963 470793046 531605926 706189569 797408889 1412379138 1594817778 1647775661 1860620741 2118568707 2392226667 3295551322 3721241482 4237137414 4784453334 4943326983 5581862223 9886653966 11163724446 14829980949 16745586669 29659961898 33491173338 246930952627 493861905254 740792857881 1481585715762 1728516668389 2222378573643 3457033336778 4444757147286 5185550005167 10371100010334 15556650015501 31113300031002