Search a number
-
+
2131332132120 = 2335172345424811
BaseRepresentation
bin11111000000111101010…
…010110110110100011000
321112202100012102102022120
4133000331102312310120
5234404432011211440
64311042004221240
7306661253131362
oct37007522666430
97482305372276
102131332132120
11751990474554
122a509699a820
13125ca3414459
147522ac41d32
153a692c7bdd0
hex1f03d4b6d18

2131332132120 has 128 divisors (see below), whose sum is σ = 7064466762240. Its totient is φ = 511665059840.

The previous prime is 2131332132073. The next prime is 2131332132161. The reversal of 2131332132120 is 212312331312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22665486 + ... + 22759325.

It is an arithmetic number, because the mean of its divisors is an integer number (55191146580).

Almost surely, 22131332132120 is an apocalyptic number.

2131332132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131332132120 is an abundant number, since it is smaller than the sum of its proper divisors (4933134630120).

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

2131332132120 is a wasteful number, since it uses less digits than its factorization.

2131332132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45424865 (or 45424861 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2131332132120 its reverse (212312331312), we get a palindrome (2343644463432).

The spelling of 2131332132120 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4692 5865 7820 9384 11730 15640 23460 46920 45424811 90849622 136274433 181699244 227124055 272548866 363398488 454248110 545097732 681372165 772221787 908496220 1044770653 1090195464 1362744330 1544443574 1816992440 2089541306 2316665361 2725488660 3088887148 3134311959 3861108935 4179082612 4633330722 5223853265 5450977320 6177774296 6268623918 7722217870 8358165224 9266661444 10447706530 11583326805 12537247836 15444435740 15671559795 17761101101 18533322888 20895413060 23166653610 25074495672 30888871480 31343119590 35522202202 41790826120 46333307220 53283303303 62686239180 71044404404 88805505505 92666614440 106566606606 125372478360 142088808808 177611011010 213133213212 266416516515 355222022020 426266426424 532833033030 710444044040 1065666066060 2131332132120