Search a number
-
+
20153235102 = 23711213305047
BaseRepresentation
bin10010110001001110…
…011111011010011110
31221000111212102021220
4102301032133122132
5312233212010402
613131441434210
71312262446320
oct226116373236
957014772256
1020153235102
118601a80900
123aa533b966
131b9236a1b0
14d927b3610
157ce438dbc
hex4b139f69e

20153235102 has 96 divisors (see below), whose sum is σ = 54527940096. Its totient is φ = 4831928640.

The previous prime is 20153235071. The next prime is 20153235103.

It is a happy number.

20153235102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153235103) 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, 86458 + ... + 218589.

It is an arithmetic number, because the mean of its divisors is an integer number (567999376).

Almost surely, 220153235102 is an apocalyptic number.

20153235102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20153235102 is an abundant number, since it is smaller than the sum of its proper divisors (34374704994).

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

20153235102 is a wasteful number, since it uses less digits than its factorization.

20153235102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305094 (or 305083 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

It can be divided in two parts, 20153 and 235102, that added together give a triangular number (255255 = T714).

The spelling of 20153235102 in words is "twenty billion, one hundred fifty-three million, two hundred thirty-five thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 5082 6006 9438 11011 22022 33033 66066 305047 610094 915141 1830282 2135329 3355517 3965611 4270658 6405987 6711034 7931222 10066551 11896833 12811974 20133102 23488619 23793666 27759277 36910687 43621721 46977238 55518554 70465857 73821374 83277831 87243442 110732061 130865163 140931714 166555662 221464122 258374809 261730326 305352047 479838931 516749618 610704094 775124427 916056141 959677862 1439516793 1550248854 1832112282 2879033586 3358872517 6717745034 10076617551 20153235102