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2135116500 = 2235311129401
BaseRepresentation
bin111111101000011…
…0100101011010100
312111210121011012220
41333100310223110
513333042212000
6551510542340
7103624122306
oct17720645324
95453534186
102135116500
119a62436a0
124b70679b0
1328046495a
141637cb976
15c76a21a0
hex7f434ad4

2135116500 has 96 divisors (see below), whose sum is σ = 6782735232. Its totient is φ = 517600000.

The previous prime is 2135116471. The next prime is 2135116523. The reversal of 2135116500 is 56115312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48201 + ... + 81200.

It is an arithmetic number, because the mean of its divisors is an integer number (70653492).

Almost surely, 22135116500 is an apocalyptic number.

2135116500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135116500 is an abundant number, since it is smaller than the sum of its proper divisors (4647618732).

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

2135116500 is a wasteful number, since it uses less digits than its factorization.

2135116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129434 (or 129422 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2135116500 is about 46207.3208485409. The cubic root of 2135116500 is about 1287.6777521889.

The spelling of 2135116500 in words is "two billion, one hundred thirty-five million, one hundred sixteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 8250 16500 129401 258802 388203 517604 647005 776406 1294010 1423411 1552812 1941015 2588020 2846822 3235025 3882030 4270233 5693644 6470050 7117055 7764060 8540466 9705075 12940100 14234110 16175125 17080932 19410150 21351165 28468220 32350250 35585275 38820300 42702330 48525375 64700500 71170550 85404660 97050750 106755825 142341100 177926375 194101500 213511650 355852750 427023300 533779125 711705500 1067558250 2135116500