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97100310112 = 25132591631867
BaseRepresentation
bin101101001101110100…
…0010010011001100000
3100021122002100211111221
41122123220102121200
53042330134410422
6112335100344424
710005144006061
oct1323350223140
9307562324457
1097100310112
11381a8659183
121699a845114
139205b49c00
1449b1cca568
1527d48ac3c7
hex169ba12660

97100310112 has 144 divisors (see below), whose sum is σ = 211915932480. Its totient is φ = 43762208256.

The previous prime is 97100310079. The next prime is 97100310113. The reversal of 97100310112 is 21101300179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97100310113) 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, 52007803 + ... + 52009669.

It is an arithmetic number, because the mean of its divisors is an integer number (1471638420).

Almost surely, 297100310112 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 97100310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105957966240).

97100310112 is an abundant number, since it is smaller than the sum of its proper divisors (114815622368).

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

97100310112 is a wasteful number, since it uses less digits than its factorization.

97100310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 25.

The spelling of 97100310112 in words is "ninety-seven billion, one hundred million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 118 163 169 208 236 326 338 416 472 652 676 767 944 1304 1352 1534 1867 1888 2119 2608 2704 3068 3734 4238 5216 5408 6136 7468 8476 9617 9971 12272 14936 16952 19234 19942 24271 24544 27547 29872 33904 38468 39884 48542 55094 59744 67808 76936 79768 97084 110153 110188 125021 153872 159536 194168 220306 220376 250042 304321 307744 315523 319072 388336 440612 440752 500084 608642 631046 776672 881224 881504 1000168 1217284 1262092 1431989 1625273 1762448 2000336 2434568 2524184 2863978 3250546 3524896 3956173 4000672 4869136 5048368 5727956 6501092 7912346 9738272 10096736 11455912 13002184 15824692 17954939 18615857 22911824 26004368 31649384 35909878 37231714 45823648 51430249 52008736 63298768 71819756 74463428 102860498 126597536 143639512 148926856 205720996 233414207 287279024 297853712 411441992 466828414 574558048 595707424 822883984 933656828 1645767968 1867313656 3034384691 3734627312 6068769382 7469254624 12137538764 24275077528 48550155056 97100310112