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97120002112 = 2672934571619
BaseRepresentation
bin101101001110011001…
…1011010000001000000
3100021200110102021212021
41122130303122001000
53042400210031422
6112341042411224
710005503253130
oct1323463320100
9307613367767
1097120002112
1138208789061
12169a5360b14
139209c53093
1449b4774ac0
1527d649bdc7
hex169ccda040

97120002112 has 112 divisors (see below), whose sum is σ = 221626419840. Its totient is φ = 41364467712.

The previous prime is 97120002073. The next prime is 97120002149. The reversal of 97120002112 is 21120002179.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59986839 + ... + 59988457.

It is an arithmetic number, because the mean of its divisors is an integer number (1978807320).

Almost surely, 297120002112 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 97120002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110813209920).

97120002112 is an abundant number, since it is smaller than the sum of its proper divisors (124506417728).

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

97120002112 is a wasteful number, since it uses less digits than its factorization.

97120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 97120002112 in words is "ninety-seven billion, one hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 293 448 457 586 914 1172 1619 1828 2051 2344 3199 3238 3656 4102 4688 6398 6476 7312 8204 9376 11333 12796 12952 14624 16408 18752 22666 25592 25904 29248 32816 45332 51184 51808 65632 90664 102368 103616 131264 133901 181328 204736 267802 362656 474367 535604 725312 739883 937307 948734 1071208 1479766 1874614 1897468 2142416 2959532 3320569 3749228 3794936 4284832 5179181 5919064 6641138 7498456 7589872 8569664 10358362 11838128 13282276 14996912 15179744 20716724 23676256 26564552 29993824 30359488 41433448 47352512 53129104 59987648 82866896 106258208 165733792 212516416 216785719 331467584 433571438 867142876 1517500033 1734285752 3035000066 3468571504 6070000132 6937143008 12140000264 13874286016 24280000528 48560001056 97120002112