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31110315003020 = 225111271210791969
BaseRepresentation
bin1110001001011011011110…
…10001100100110010001100
311002011010011100020222020202
413010231233101210302030
513034202411120044040
6150055514215033032
76360434415242651
oct704555721446214
9132133140228222
1031110315003020
119a048a0858530
1235a547966b778
1314488c82565b6
14797a66773c28
1538e3b610c015
hex1c4b6f464c8c

31110315003020 has 96 divisors (see below), whose sum is σ = 71838805893120. Its totient is φ = 11222715248640.

The previous prime is 31110315002941. The next prime is 31110315003041. The reversal of 31110315003020 is 2030051301113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31110315002983 and 31110315003001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338223596 + ... + 338315564.

It is an arithmetic number, because the mean of its divisors is an integer number (748320894720).

Almost surely, 231110315003020 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 31110315003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35919402946560).

31110315003020 is an abundant number, since it is smaller than the sum of its proper divisors (40728490890100).

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

31110315003020 is a wasteful number, since it uses less digits than its factorization.

31110315003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104223 (or 104221 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 31110315003020 its reverse (2030051301113), we get a palindrome (33140366304133).

The spelling of 31110315003020 in words is "thirty-one trillion, one hundred ten billion, three hundred fifteen million, three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 12107 13970 24214 27940 48428 60535 91969 121070 133177 183938 242140 266354 367876 459845 532708 665885 919690 1011659 1331770 1537589 1839380 2023318 2663540 3075178 4046636 5058295 6150356 7687945 10116590 11680063 15375890 16913479 20233180 23360126 30751780 33826958 46720252 58400315 67653916 84567395 116800630 128480693 169134790 233601260 256961386 338269580 513922772 642403465 1113468683 1284806930 2226937366 2569613860 4453874732 5567343415 11134686830 12248155513 22269373660 24496311026 48992622052 61240777565 122481555130 141410522741 244963110260 282821045482 565642090964 707052613705 1414105227410 1555515750151 2828210454820 3111031500302 6222063000604 7777578750755 15555157501510 31110315003020