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2131303011000 = 23353937758201
BaseRepresentation
bin11111000000111011100…
…011110001001010111000
321112202021011121220122120
4133000323203301022320
5234404402032323000
64311035044121240
7306660450453222
oct37007343611270
97482234556576
102131303011000
11751975a94409
122a5089096220
13125c9a389517
1475227021412
153a6904286a0
hex1f03b8f12b8

2131303011000 has 128 divisors (see below), whose sum is σ = 6656770935360. Its totient is φ = 567740160000.

The previous prime is 2131303010983. The next prime is 2131303011007. The reversal of 2131303011000 is 1103031312.

It is a super-2 number, since 2×21313030110002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131303011007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2431900 + ... + 3190100.

Almost surely, 22131303011000 is an apocalyptic number.

2131303011000 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 2131303011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328385467680).

2131303011000 is an abundant number, since it is smaller than the sum of its proper divisors (4525467924360).

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

2131303011000 is a wasteful number, since it uses less digits than its factorization.

2131303011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759162 (or 759148 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 2131303011000 its reverse (1103031312), we get a palindrome (2132406042312).

The spelling of 2131303011000 in words is "two trillion, one hundred thirty-one billion, three hundred three million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 937 1000 1500 1874 2811 3000 3748 4685 5622 7496 9370 11244 14055 18740 22488 23425 28110 37480 46850 56220 70275 93700 112440 117125 140550 187400 234250 281100 351375 468500 562200 702750 758201 937000 1405500 1516402 2274603 2811000 3032804 3791005 4549206 6065608 7582010 9098412 11373015 15164020 18196824 18955025 22746030 30328040 37910050 45492060 56865075 75820100 90984120 94775125 113730150 151640200 189550250 227460300 284325375 379100500 454920600 568650750 710434337 758201000 1137301500 1420868674 2131303011 2274603000 2841737348 3552171685 4262606022 5683474696 7104343370 8525212044 10656515055 14208686740 17050424088 17760858425 21313030110 28417373480 35521716850 42626060220 53282575275 71043433700 85252120440 88804292125 106565150550 142086867400 177608584250 213130301100 266412876375 355217168500 426260602200 532825752750 710434337000 1065651505500 2131303011000