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1230011402240 = 2115971238333
BaseRepresentation
bin10001111001100010011…
…001001000100000000000
311100120212121110022021202
4101321202121020200000
5130123030404332430
62341020501040332
7154602554261405
oct21714231104000
94316777408252
101230011402240
11434710408865
1217a4743b60a8
138bcb314299a
14437662a02ac
1521ede817d45
hex11e62648800

1230011402240 has 96 divisors (see below), whose sum is σ = 2981734905240. Its totient is φ = 486931955712.

The previous prime is 1230011402231. The next prime is 1230011402267. The reversal of 1230011402240 is 422041100321.

It can be written as a sum of positive squares in 4 ways, for example, as 900039279616 + 329972122624 = 948704^2 + 574432^2 .

It is a super-2 number, since 2×12300114022402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374114 + ... + 1612446.

Almost surely, 21230011402240 is an apocalyptic number.

1230011402240 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 1230011402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490867452620).

1230011402240 is an abundant number, since it is smaller than the sum of its proper divisors (1751723503000).

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

1230011402240 is an equidigital number, since it uses as much as digits as its factorization.

1230011402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238457 (or 1238437 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1230011402240 its reverse (422041100321), we get a palindrome (1652052502561).

The spelling of 1230011402240 in words is "one trillion, two hundred thirty billion, eleven million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 512 640 776 970 1024 1280 1552 1940 2048 2560 3104 3880 5120 6208 7760 10240 12416 15520 24832 31040 49664 62080 99328 124160 198656 248320 496640 993280 1238333 2476666 4953332 6191665 9906664 12383330 19813328 24766660 39626656 49533320 79253312 99066640 120118301 158506624 198133280 240236602 317013248 396266560 480473204 600591505 634026496 792533120 960946408 1201183010 1268052992 1585066240 1921892816 2402366020 2536105984 3170132480 3843785632 4804732040 6340264960 7687571264 9609464080 12680529920 15375142528 19218928160 30750285056 38437856320 61500570112 76875712640 123001140224 153751425280 246002280448 307502850560 615005701120 1230011402240