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2231130132100 = 2252411531335537
BaseRepresentation
bin100000011101111001101…
…110000000111010000100
321220021221021222002122001
4200131321232000322010
5243023323303211400
64424544513515044
7320123325132502
oct40357156007204
97807837862561
102231130132100
11790242880a91
123004a8b72a84
1313251911944c
1479db711d672
153d0843b4a6a
hex20779b80e84

2231130132100 has 72 divisors (see below), whose sum is σ = 4960102486248. Its totient is φ = 870603571200.

The previous prime is 2231130132083. The next prime is 2231130132149. The reversal of 2231130132100 is 12310311322.

It can be written as a sum of positive squares in 12 ways, for example, as 1640125894276 + 591004237824 = 1280674^2 + 768768^2 .

It is a super-3 number, since 3×22311301321003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62765532 + ... + 62801068.

It is an arithmetic number, because the mean of its divisors is an integer number (68890312309).

Almost surely, 22231130132100 is an apocalyptic number.

2231130132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231130132100 is an abundant number, since it is smaller than the sum of its proper divisors (2728972354148).

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

2231130132100 is a wasteful number, since it uses less digits than its factorization.

2231130132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50905 (or 50898 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2231130132100 its reverse (12310311322), we get a palindrome (2243440443422).

The spelling of 2231130132100 in words is "two trillion, two hundred thirty-one billion, one hundred thirty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 15313 30626 35537 61252 71074 76565 142148 153130 177685 306260 355370 382825 627833 710740 765650 888425 1255666 1457017 1531300 1776850 2511332 2914034 3139165 3553700 5828068 6278330 7285085 12556660 14570170 15695825 29140340 31391650 36425425 62783300 72850850 145701700 544178081 1088356162 2176712324 2720890405 5441780810 10883561620 13604452025 22311301321 27208904050 44622602642 54417808100 89245205284 111556506605 223113013210 446226026420 557782533025 1115565066050 2231130132100