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31202101112 = 23713193137207
BaseRepresentation
bin11101000011110010…
…100100011101111000
32222112112020222002112
4131003302210131320
51002400214213422
622200053151452
72153134324550
oct350362443570
988475228075
1031202101112
1112261855426
12606962b588
132c33443a30
14171dd64160
15c2942bee2
hex743ca4778

31202101112 has 128 divisors (see below), whose sum is σ = 76047283200. Its totient is φ = 11655042048.

The previous prime is 31202101111. The next prime is 31202101159. The reversal of 31202101112 is 21110120213.

It is a super-2 number, since 2×312021011122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202101111) 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, 4325813 + ... + 4333019.

It is an arithmetic number, because the mean of its divisors is an integer number (594119400).

Almost surely, 231202101112 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 31202101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38023641600).

31202101112 is an abundant number, since it is smaller than the sum of its proper divisors (44845182088).

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

31202101112 is a wasteful number, since it uses less digits than its factorization.

31202101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 31202101112 its reverse (21110120213), we get a palindrome (52312221325).

The spelling of 31202101112 in words is "thirty-one billion, two hundred two million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 313 364 494 532 626 728 988 1064 1252 1729 1976 2191 2504 3458 4069 4382 5947 6916 7207 8138 8764 11894 13832 14414 16276 17528 23788 28483 28828 32552 41629 47576 50449 56966 57656 77311 83258 93691 100898 113932 136933 154622 166516 187382 201796 227864 273866 309244 333032 374764 403592 541177 547732 618488 655837 749528 958531 1082354 1095464 1311674 1780129 1917062 2164708 2255791 2623348 3560258 3834124 4329416 4511582 5246696 7120516 7668248 9023164 12460903 14241032 15790537 18046328 24921806 29325283 31581074 42860029 49843612 58650566 63162148 85720058 99687224 117301132 126324296 171440116 205276981 234602264 300020203 342880232 410553962 557180377 600040406 821107924 1114360754 1200080812 1642215848 2228721508 2400161624 3900262639 4457443016 7800525278 15601050556 31202101112