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2331145020330 = 232572975449529
BaseRepresentation
bin100001111011000011000…
…100100010001110101010
322020212002111121211200200
4201323003010202032222
5301143141111122310
64542525132013030
7330263642510100
oct41730304421652
98225074554620
102331145020330
118196a6655905
1231795b901176
1313ba97a3c699
1480b84137c70
1540989a909c0
hex21ec31223aa

2331145020330 has 144 divisors (see below), whose sum is σ = 7123211451720. Its totient is φ = 527339925504.

The previous prime is 2331145020329. The next prime is 2331145020349. The reversal of 2331145020330 is 330205411332.

2331145020330 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 1 + 450 + 203 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1975927828329 + 355217192001 = 1405677^2 + 596001^2 .

It is a super-2 number, since 2×23311450203302 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2331145020294 and 2331145020303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2296995 + ... + 3152534.

Almost surely, 22331145020330 is an apocalyptic number.

2331145020330 is an abundant number, since it is smaller than the sum of its proper divisors (4792066431390).

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

2331145020330 is a wasteful number, since it uses less digits than its factorization.

2331145020330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449653 (or 5449643 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 2331145020330 in words is "two trillion, three hundred thirty-one billion, one hundred forty-five million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 97 98 105 126 147 194 210 245 291 294 315 441 485 490 582 630 679 735 873 882 970 1358 1455 1470 1746 2037 2205 2910 3395 4074 4365 4410 4753 6111 6790 8730 9506 10185 12222 14259 20370 23765 28518 30555 42777 47530 61110 71295 85554 142590 213885 427770 5449529 10899058 16348587 27247645 32697174 38146703 49045761 54495290 76293406 81742935 98091522 114440109 163485870 190733515 228880218 245228805 267026921 343320327 381467030 490457610 528604313 534053842 572200545 686640654 801080763 1057208626 1144401090 1335134605 1585812939 1602161526 1716601635 2403242289 2643021565 2670269210 3171625878 3433203270 3700230191 4005403815 4757438817 4806484578 5286043130 7400460382 7929064695 8010807630 9514877634 11100690573 12016211445 15858129390 18501150955 22201381146 23787194085 24032422890 25901611337 33302071719 37002301910 47574388170 51803222674 55503452865 66604143438 77704834011 111006905730 129508056685 155409668022 166510358595 233114502033 259016113370 333020717190 388524170055 466229004066 777048340110 1165572510165 2331145020330