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101131042410988 = 22237173434948767
BaseRepresentation
bin10110111111101001100111…
…110110111101000111101100
3111021002000220020011011102221
4112333221213312331013230
5101223412333324122423
6555030543130525124
730205322336045602
oct2677514766750754
9437060806134387
10101131042410988
112a250485a61a87
12b413a595967a4
134457802252535
141ad8aa8d51872
15ba59b5656e5d
hex5bfa67dbd1ec

101131042410988 has 96 divisors (see below), whose sum is σ = 189888078643200. Its totient is φ = 47020785799680.

The previous prime is 101131042410971. The next prime is 101131042410989. The reversal of 101131042410988 is 889014240131101.

It is a super-2 number, since 2×1011310424109882 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101131042410989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2073735381 + ... + 2073784147.

It is an arithmetic number, because the mean of its divisors is an integer number (1978000819200).

Almost surely, 2101131042410988 is an apocalyptic number.

It is an amenable number.

101131042410988 is a deficient number, since it is larger than the sum of its proper divisors (88757036232212).

101131042410988 is a wasteful number, since it uses less digits than its factorization.

101131042410988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53287 (or 53285 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 101131042410988 in words is "one hundred one trillion, one hundred thirty-one billion, forty-two million, four hundred ten thousand, nine hundred eighty-eight".

Divisors: 1 2 4 23 46 71 73 92 142 146 284 292 1633 1679 3266 3358 4349 5183 6532 6716 8698 10366 17396 20732 48767 97534 100027 119209 195068 200054 238418 308779 317477 400108 476836 617558 634954 1121641 1235116 1269908 2243282 3462457 3559991 4486564 6924914 7101917 7119982 7301971 13849828 14203834 14239964 14603942 22540867 28407668 29207884 45081734 79636511 81879793 90163468 159273022 163759586 212087683 252759361 318546044 327519172 424175366 505518722 518439941 848350732 1011037444 1036879882 2073759764 4878016709 5813465303 9756033418 11626930606 15058225493 15482400859 19512066836 23253861212 30116450986 30964801718 60232901972 61929603436 346339186339 356095219757 692678372678 712190439514 1099250460989 1385356745356 1424380879028 2198500921978 4397001843956 25282760602747 50565521205494 101131042410988