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101091831056 = 2441433479743
BaseRepresentation
bin101111000100110001…
…0101110110100010000
3100122221021010002212222
41132021202232310100
53124014002043211
6114235124440212
710206102246266
oct1361142566420
9318837102788
10101091831056
1139966780a17
1217713549068
1396c0a90118
144c70074436
15296a00a1db
hex17898aed10

101091831056 has 80 divisors (see below), whose sum is σ = 201797084160. Its totient is φ = 49030410240.

The previous prime is 101091830993. The next prime is 101091831059. The reversal of 101091831056 is 650138190101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101091831059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136058621 + ... + 136059363.

It is an arithmetic number, because the mean of its divisors is an integer number (2522463552).

Almost surely, 2101091831056 is an apocalyptic number.

101091831056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101091831056 is a deficient number, since it is larger than the sum of its proper divisors (100705253104).

101091831056 is a wasteful number, since it uses less digits than its factorization.

101091831056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 101091831056 in words is "one hundred one billion, ninety-one million, eight hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 41 82 164 328 433 479 656 743 866 958 1486 1732 1916 2972 3464 3832 5944 6928 7664 11888 17753 19639 30463 35506 39278 60926 71012 78556 121852 142024 157112 207407 243704 284048 314224 321719 355897 414814 487408 643438 711794 829628 1286876 1423588 1659256 2573752 2847176 3318512 5147504 5694352 8503687 13190479 14591777 17007374 26380958 29183554 34014748 52761916 58367108 68029496 105523832 116734216 136058992 154103401 211047664 233468432 308206802 616413604 1232827208 2465654416 6318239441 12636478882 25272957764 50545915528 101091831056