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10131020213300 = 22527107373362629
BaseRepresentation
bin1001001101101100111111…
…0111000110110000110100
31022212111221012212200222222
42103123033313012300310
52311441312133311200
633314043150541512
72063641060650410
oct223331767066064
938774835780888
1010131020213300
1132565a5882538
121177562207898
135864744c675c
142704b5cc7d40
151287e762bd85
hex936cfdc6c34

10131020213300 has 144 divisors (see below), whose sum is σ = 25427801266560. Its totient is φ = 3431795351040.

The previous prime is 10131020213299. The next prime is 10131020213357. The reversal of 10131020213300 is 331202013101.

It is a congruent number.

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, 27756386 + ... + 28119014.

It is an arithmetic number, because the mean of its divisors is an integer number (176581953240).

Almost surely, 210131020213300 is an apocalyptic number.

10131020213300 is a gapful number since it is divisible by the number (10) 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 10131020213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713900633280).

10131020213300 is an abundant number, since it is smaller than the sum of its proper divisors (15296781053260).

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

10131020213300 is a wasteful number, since it uses less digits than its factorization.

10131020213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363130 (or 363123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10131020213300 its reverse (331202013101), we get a palindrome (10462222226401).

The spelling of 10131020213300 in words is "ten trillion, one hundred thirty-one billion, twenty million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 373 428 535 700 746 749 1070 1492 1498 1865 2140 2611 2675 2996 3730 3745 5222 5350 7460 7490 9325 10444 10700 13055 14980 18650 18725 26110 37300 37450 39911 52220 65275 74900 79822 130550 159644 199555 261100 279377 362629 399110 558754 725258 798220 997775 1117508 1396885 1450516 1813145 1995550 2538403 2793770 3626290 3991100 5076806 5587540 6984425 7252580 9065725 10153612 12692015 13968850 18131450 25384030 27937700 36262900 38801303 50768060 63460075 77602606 126920150 135260617 155205212 194006515 253840300 270521234 271609121 388013030 541042468 543218242 676303085 776026060 946824319 970032575 1086436484 1352606170 1358045605 1893648638 1940065150 2705212340 2716091210 3381515425 3787297276 3880130300 4734121595 5432182420 6763030850 6790228025 9468243190 13526061700 13580456050 14472886019 18936486380 23670607975 27160912100 28945772038 47341215950 57891544076 72364430095 94682431900 101310202133 144728860190 202620404266 289457720380 361822150475 405240808532 506551010665 723644300950 1013102021330 1447288601900 2026204042660 2532755053325 5065510106650 10131020213300