Search a number
-
+
100698551872801 = 1961163773689561
BaseRepresentation
bin10110111001010110110101…
…011010011110110100100001
3111012112200120012220102221221
4112321112311122132310201
5101144321113234412201
6554100135345415041
730132141663115501
oct2671266532366441
9435480505812857
10100698551872801
112a0a401a365433
12b36407933a481
134425aa958358c
141ac1b9ba77a01
15b996016774a1
hex5b95b569ed21

100698551872801 has 32 divisors (see below), whose sum is σ = 108537500119680. Its totient is φ = 93138262387200.

The previous prime is 100698551872657. The next prime is 100698551872829. The reversal of 100698551872801 is 108278155896001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100698551872801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100698551872801.

It is not an unprimeable number, because it can be changed into a prime (100698551872301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145688061 + ... + 146377621.

It is an arithmetic number, because the mean of its divisors is an integer number (3391796878740).

Almost surely, 2100698551872801 is an apocalyptic number.

It is an amenable number.

100698551872801 is a deficient number, since it is larger than the sum of its proper divisors (7838948246879).

100698551872801 is a wasteful number, since it uses less digits than its factorization.

100698551872801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690577.

The product of its (nonzero) digits is 9676800, while the sum is 61.

The spelling of 100698551872801 in words is "one hundred trillion, six hundred ninety-eight billion, five hundred fifty-one million, eight hundred seventy-two thousand, eight hundred one".

Divisors: 1 19 61 163 773 1159 3097 9943 14687 47153 125999 188917 689561 895907 2393981 7685939 13101659 42063221 112398443 146032841 533030653 799201199 2135570417 6856305023 10127582407 32514869833 86883996439 130269795437 617782526827 1650795932341 5299923782779 100698551872801