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31102103032 = 23711138114789
BaseRepresentation
bin11100111101110101…
…000110110111111000
32222021120002112111221
4130331311012313320
51002144114244112
622142122001424
72150511341140
oct347565066770
988246075457
1031102103032
1112210365390
126040046274
132c18801080
141710973920
15c20777e07
hex73dd46df8

31102103032 has 128 divisors (see below), whose sum is σ = 78411916800. Its totient is φ = 11169446400.

The previous prime is 31102103009. The next prime is 31102103033. The reversal of 31102103032 is 23030120113.

It is a junction number, because it is equal to n+sod(n) for n = 31102102997 and 31102103015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31102103033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6492094 + ... + 6496882.

It is an arithmetic number, because the mean of its divisors is an integer number (612593100).

Almost surely, 231102103032 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 31102103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39205958400).

31102103032 is an abundant number, since it is smaller than the sum of its proper divisors (47309813768).

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

31102103032 is a wasteful number, since it uses less digits than its factorization.

31102103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31102103032 its reverse (23030120113), we get a palindrome (54132223145).

The spelling of 31102103032 in words is "thirty-one billion, one hundred two million, one hundred three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 811 1001 1144 1622 2002 3244 4004 4789 5677 6488 8008 8921 9578 10543 11354 17842 19156 21086 22708 33523 35684 38312 42172 45416 52679 62257 62447 67046 71368 73801 84344 105358 115973 124514 124894 134092 147602 210716 231946 249028 249788 268184 295204 368753 421432 435799 463892 498056 499576 590408 684827 737506 811811 871598 927784 1369654 1475012 1623622 1743196 2739308 2950024 3247244 3486392 3883879 4793789 5478616 6494488 7767758 9587578 15535516 19175156 27187153 31071032 38350312 42722669 50490427 54374306 85445338 100980854 108748612 170890676 201961708 217497224 299058683 341781352 353432989 403923416 555394697 598117366 706865978 1110789394 1196234732 1413731956 2221578788 2392469464 2827463912 3887762879 4443157576 7775525758 15551051516 31102103032