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10020100112 = 24114310113109
BaseRepresentation
bin10010101010011111…
…01001100000010000
3221212022120211021222
421111033221200100
5131010121200422
64334141304212
7503210305601
oct112517514020
927768524258
1010020100112
1142820a3580
121b37865068
13c38c07329
146b0ab5da8
153d9a2d842
hex2553e9810

10020100112 has 80 divisors (see below), whose sum is σ = 21887616960. Its totient is φ = 4404288000.

The previous prime is 10020100109. The next prime is 10020100133. The reversal of 10020100112 is 21100102001.

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 10020100112.

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, 757814 + ... + 770922.

It is an arithmetic number, because the mean of its divisors is an integer number (273595212).

Almost surely, 210020100112 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 10020100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10943808480).

10020100112 is an abundant number, since it is smaller than the sum of its proper divisors (11867516848).

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

10020100112 is a wasteful number, since it uses less digits than its factorization.

10020100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272 (or 13266 counting only the distinct ones).

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

Adding to 10020100112 its reverse (21100102001), we get a palindrome (31120202113).

The spelling of 10020100112 in words is "ten billion, twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 101 172 176 202 344 404 473 688 808 946 1111 1616 1892 2222 3784 4343 4444 7568 8686 8888 13109 17372 17776 26218 34744 47773 52436 69488 95546 104872 144199 191092 209744 288398 382184 563687 576796 764368 1127374 1153592 1324009 2254748 2307184 2648018 4509496 5296036 6200557 9018992 10592072 12401114 14564099 21184144 24802228 29128198 49604456 56932387 58256396 99208912 113864774 116512792 227729548 233025584 455459096 626256257 910918192 1252512514 2505025028 5010050056 10020100112