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2131023300 = 2235277313901
BaseRepresentation
bin111111100000100…
…1101010111000100
312111111220012101220
41333001031113010
513331020221200
6551243120340
7103544253630
oct17701152704
95444805356
102131023300
119a39a838a
124b58130b0
1327c660843
14163043dc0
15c71444a0
hex7f04d5c4

2131023300 has 144 divisors (see below), whose sum is σ = 7143626112. Its totient is φ = 480384000.

The previous prime is 2131023259. The next prime is 2131023319. The reversal of 2131023300 is 33201312.

2131023300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131023300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146350 + ... + 160250.

Almost surely, 22131023300 is an apocalyptic number.

2131023300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571813056).

2131023300 is an abundant number, since it is smaller than the sum of its proper divisors (5012602812).

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

2131023300 is a wasteful number, since it uses less digits than its factorization.

2131023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13998 (or 13991 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2131023300 is about 46163.0079175957. The cubic root of 2131023300 is about 1286.8543631906.

Adding to 2131023300 its reverse (33201312), we get a palindrome (2164224612).

The spelling of 2131023300 in words is "two billion, one hundred thirty-one million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 73 75 84 100 105 140 146 150 175 210 219 292 300 350 365 420 438 511 525 700 730 876 1022 1050 1095 1460 1533 1825 2044 2100 2190 2555 3066 3650 4380 5110 5475 6132 7300 7665 10220 10950 12775 13901 15330 21900 25550 27802 30660 38325 41703 51100 55604 69505 76650 83406 97307 139010 153300 166812 194614 208515 278020 291921 347525 389228 417030 486535 583842 695050 834060 973070 1014773 1042575 1167684 1390100 1459605 1946140 2029546 2085150 2432675 2919210 3044319 4059092 4170300 4865350 5073865 5838420 6088638 7103411 7298025 9730700 10147730 12177276 14206822 14596050 15221595 20295460 21310233 25369325 28413644 29192100 30443190 35517055 42620466 50738650 60886380 71034110 76107975 85240932 101477300 106551165 142068220 152215950 177585275 213102330 304431900 355170550 426204660 532755825 710341100 1065511650 2131023300