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100102000112 = 24101337397463
BaseRepresentation
bin101110100111010001…
…0110100110111110000
3100120101021120111002122
41131032202310313300
53120002103000422
6113553005133412
710142422650632
oct1351642646760
9316337514078
10100102000112
11394a8a73314
1217497b5a268
1395939a373a
144bb8812a52
15290d186d42
hex174e8b4df0

100102000112 has 80 divisors (see below), whose sum is σ = 197369308032. Its totient is φ = 49177497600.

The previous prime is 100102000111. The next prime is 100102000121. The reversal of 100102000112 is 211000201001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100102000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216202793 + ... + 216203255.

Almost surely, 2100102000112 is an apocalyptic number.

It is an amenable number.

100102000112 is a deficient number, since it is larger than the sum of its proper divisors (97267307920).

100102000112 is a wasteful number, since it uses less digits than its factorization.

100102000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100102000112 its reverse (211000201001), we get a palindrome (311102201113).

The spelling of 100102000112 in words is "one hundred billion, one hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 101 202 337 397 404 463 674 794 808 926 1348 1588 1616 1852 2696 3176 3704 5392 6352 7408 34037 40097 46763 68074 80194 93526 133789 136148 156031 160388 183811 187052 267578 272296 312062 320776 367622 374104 535156 544592 624124 641552 735244 748208 1070312 1248248 1470488 2140624 2496496 2940976 13512689 15759131 18564911 27025378 31518262 37129822 54050756 61944307 63036524 74259644 108101512 123888614 126073048 148519288 216203024 247777228 252146096 297038576 495554456 991108912 6256375007 12512750014 25025500028 50051000056 100102000112