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101197668 = 2231113173469
BaseRepresentation
bin1100000100000…
…10011101100100
321001102101002210
412002002131210
5201401311133
614013003420
72336110635
oct602023544
9231371083
10101197668
115213a340
1229a83570
1317c729a0
14d62388c
158d3e763
hex6082764

101197668 has 96 divisors (see below), whose sum is σ = 293811840. Its totient is φ = 26634240.

The previous prime is 101197639. The next prime is 101197693. The reversal of 101197668 is 866791101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27438 + ... + 30906.

It is an arithmetic number, because the mean of its divisors is an integer number (3060540).

Almost surely, 2101197668 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 101197668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146905920).

101197668 is an abundant number, since it is smaller than the sum of its proper divisors (192614172).

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

101197668 is a wasteful number, since it uses less digits than its factorization.

101197668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 101197668 is about 10059.7051646656. The cubic root of 101197668 is about 466.0045619599.

The spelling of 101197668 in words is "one hundred one million, one hundred ninety-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1122 1326 1716 2244 2431 2652 3469 4862 6938 7293 9724 10407 13876 14586 20814 29172 38159 41628 45097 58973 76318 90194 114477 117946 135291 152636 176919 180388 228954 235892 270582 353838 457908 496067 541164 648703 707676 766649 992134 1297406 1488201 1533298 1946109 1984268 2299947 2594812 2976402 3066596 3892218 4599894 5952804 7784436 8433139 9199788 16866278 25299417 33732556 50598834 101197668