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31012033100 = 22525310356809
BaseRepresentation
bin11100111000011101…
…100001001001001100
32222001021121111210112
4130320131201021030
51002003040024400
622125143255152
72145335634446
oct347035411114
988037544715
1031012033100
1112174536524
126015a4a4b8
132c02c56359
141702a09496
15c178d5835
hex73876124c

31012033100 has 72 divisors (see below), whose sum is σ = 69232756320. Its totient is φ = 12052385280.

The previous prime is 31012033081. The next prime is 31012033103. The reversal of 31012033100 is 133021013.

It is a super-2 number, since 2×310120331002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31012033103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517496 + ... + 574304.

It is an arithmetic number, because the mean of its divisors is an integer number (961566060).

Almost surely, 231012033100 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 31012033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34616378160).

31012033100 is an abundant number, since it is smaller than the sum of its proper divisors (38220723220).

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

31012033100 is a wasteful number, since it uses less digits than its factorization.

31012033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56979 (or 56972 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31012033100 its reverse (133021013), we get a palindrome (31145054113).

The spelling of 31012033100 in words is "thirty-one billion, twelve million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 103 106 206 212 265 412 515 530 1030 1060 1325 2060 2575 2650 5150 5300 5459 10300 10918 21836 27295 54590 56809 109180 113618 136475 227236 272950 284045 545900 568090 1136180 1420225 2840450 3010877 5680900 5851327 6021754 11702654 12043508 15054385 23405308 29256635 30108770 58513270 60217540 75271925 117026540 146283175 150543850 292566350 301087700 310120331 585132700 620240662 1240481324 1550601655 3101203310 6202406620 7753008275 15506016550 31012033100