Search a number
-
+
100642353201210 = 2357942465127933
BaseRepresentation
bin10110111000100010011111…
…101101100100000000111010
3111012100022111122012010110210
4112320202133231210000322
5101142411014404414320
6554014243033051550
730125112222232062
oct2670423755440072
9435308448163423
10100642353201210
112a0822007066a7
12b3551b4556bb6
1344206c1537352
141abd189dc03a2
15b97e12a040e0
hex5b889fb6403a

100642353201210 has 32 divisors (see below), whose sum is σ = 244599136899840. Its totient is φ = 26498239829568.

The previous prime is 100642353201199. The next prime is 100642353201233. The reversal of 100642353201210 is 12102353246001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21232561597 + ... + 21232566336.

It is an arithmetic number, because the mean of its divisors is an integer number (7643723028120).

Almost surely, 2100642353201210 is an apocalyptic number.

100642353201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100642353201210 is an abundant number, since it is smaller than the sum of its proper divisors (143956783698630).

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

100642353201210 is a wasteful number, since it uses less digits than its factorization.

100642353201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42465128022.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 100642353201210 in words is "one hundred trillion, six hundred forty-two billion, three hundred fifty-three million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 79 158 237 395 474 790 1185 2370 42465127933 84930255866 127395383799 212325639665 254790767598 424651279330 636976918995 1273953837990 3354745106707 6709490213414 10064235320121 16773725533535 20128470640242 33547451067070 50321176600605 100642353201210