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31990541112 = 23341719914593
BaseRepresentation
bin11101110010110010…
…001110101100111000
310001120110211212110000
4131302302032230320
51011004034303422
622410220153000
72211520053465
oct356262165470
9101513755400
1031990541112
1112626910032
126249698760
13302a8a9c8a
14179696066c
15c7376dcac
hex772c8eb38

31990541112 has 160 divisors (see below), whose sum is σ = 95357196000. Its totient is φ = 9985130496.

The previous prime is 31990541087. The next prime is 31990541137. The reversal of 31990541112 is 21114509913.

31990541112 is a `hidden beast` number, since 3 + 19 + 90 + 541 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (31990541087) and next prime (31990541137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2184888 + ... + 2199480.

It is an arithmetic number, because the mean of its divisors is an integer number (595982475).

Almost surely, 231990541112 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 31990541112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47678598000).

31990541112 is an abundant number, since it is smaller than the sum of its proper divisors (63366654888).

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

31990541112 is a wasteful number, since it uses less digits than its factorization.

31990541112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14827 (or 14814 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 31990541112 in words is "thirty-one billion, nine hundred ninety million, five hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 199 204 216 306 324 398 408 459 597 612 648 796 918 1194 1224 1377 1592 1791 1836 2388 2754 3383 3582 3672 4776 5373 5508 6766 7164 10149 10746 11016 13532 14328 14593 16119 20298 21492 27064 29186 30447 32238 40596 42984 43779 58372 60894 64476 81192 87558 91341 116744 121788 128952 131337 175116 182682 243576 248081 262674 274023 350232 365364 394011 496162 525348 548046 730728 744243 788022 992324 1050696 1096092 1182033 1488486 1576044 1984648 2192184 2232729 2364066 2904007 2976972 3152088 4465458 4728132 5808014 5953944 6698187 8712021 8930916 9456264 11616028 13396374 17424042 17861832 20094561 23232056 26136063 26792748 34848084 40189122 49368119 52272126 53585496 69696168 78408189 80378244 98736238 104544252 148104357 156816378 160756488 197472476 209088504 235224567 296208714 313632756 394944952 444313071 470449134 592417428 627265512 888626142 940898268 1184834856 1332939213 1777252284 1881796536 2665878426 3554504568 3998817639 5331756852 7997635278 10663513704 15995270556 31990541112