Search a number
-
+
100101110009976 = 23331299593565979
BaseRepresentation
bin10110110000101010011011…
…000110101001000001111000
3111010102120110110122012222000
4112300222123012221001320
5101110024033130304401
6552521452021101000
730041031552064365
oct2660523306510170
9433376413565860
10100101110009976
1129993707a74199
12b288323257760
1343b16568cc60a
141aa0cc345946c
15b88cd61bb186
hex5b0a9b1a9078

100101110009976 has 64 divisors (see below), whose sum is σ = 278060856480000. Its totient is φ = 33366770562528.

The previous prime is 100101110009959. The next prime is 100101110010007. The reversal of 100101110009976 is 679900011101001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100101110009976.

It is a congruent number.

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, 26288155 + ... + 29854133.

It is an arithmetic number, because the mean of its divisors is an integer number (4344700882500).

Almost surely, 2100101110009976 is an apocalyptic number.

It is an amenable number.

100101110009976 is an abundant number, since it is smaller than the sum of its proper divisors (177959746470024).

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

100101110009976 is a wasteful number, since it uses less digits than its factorization.

100101110009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695953 (or 3695943 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 36.

The spelling of 100101110009976 in words is "one hundred trillion, one hundred one billion, one hundred ten million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 129959 259918 389877 519836 779754 1039672 1169631 1559508 2339262 3119016 3508893 3565979 4678524 7017786 7131958 9357048 10697937 14035572 14263916 21395874 28071144 28527832 32093811 42791748 64187622 85583496 96281433 128375244 192562866 256750488 385125732 770251464 463431064861 926862129722 1390293194583 1853724259444 2780586389166 3707448518888 4170879583749 5561172778332 8341759167498 11122345556664 12512638751247 16683518334996 25025277502494 33367036669992 50050555004988 100101110009976