Search a number
-
+
100667040334011 = 32177092158742989
BaseRepresentation
bin10110111000111001011111…
…001011100000000010111011
3111012102200020010101102011200
4112320321133023200002323
5101143312044311142021
6554033444440025243
730126645050343144
oct2670713713400273
9435380203342150
10100667040334011
112a09171997a998
12b359b44162223
134422b26cb9138
141ac044c9a4acb
15b988a9ec5126
hex5b8e5f2e00bb

100667040334011 has 48 divisors (see below), whose sum is σ = 154189237456800. Its totient is φ = 63070155777024.

The previous prime is 100667040333991. The next prime is 100667040334061. The reversal of 100667040334011 is 110433040766001.

It is not a de Polignac number, because 100667040334011 - 26 = 100667040333947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100667040334061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2341671505 + ... + 2341714493.

It is an arithmetic number, because the mean of its divisors is an integer number (3212275780350).

Almost surely, 2100667040334011 is an apocalyptic number.

100667040334011 is a deficient number, since it is larger than the sum of its proper divisors (53522197122789).

100667040334011 is a wasteful number, since it uses less digits than its factorization.

100667040334011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65308 (or 65305 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 100667040334011 in words is "one hundred trillion, six hundred sixty-seven billion, forty million, three hundred thirty-four thousand, eleven".

Divisors: 1 3 9 17 51 153 709 2127 6381 12053 21587 36159 42989 64761 108477 128967 194283 366979 386901 730813 1100937 2192439 3302811 6577317 15305183 30479201 45915549 91437603 137746647 260188111 274312809 518146417 780564333 928003543 1554439251 2341692999 2784010629 4663317753 8352031887 15776060231 47328180693 141984542079 657954511987 1973863535961 5921590607883 11185226703779 33555680111337 100667040334011