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2221001331104 = 258919712293221
BaseRepresentation
bin100000010100011101111…
…111101101000110100000
321212022210101211200202102
4200110131333231012200
5242342102320043404
64420151450305532
7316314324552443
oct40243577550640
97768711750672
102221001331104
11786a15393976
122ba540a282a8
1313159384318a
14796d5c2d65a
153cb9006371e
hex2051dfed1a0

2221001331104 has 96 divisors (see below), whose sum is σ = 4449168939600. Its totient is φ = 1091221626880.

The previous prime is 2221001331103. The next prime is 2221001331149. The reversal of 2221001331104 is 4011331001222.

It can be written as a sum of positive squares in 8 ways, for example, as 2170848624400 + 50152706704 = 1473380^2 + 223948^2 .

It is not an unprimeable number, because it can be changed into a prime (2221001331103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689536214 + ... + 689539434.

Almost surely, 22221001331104 is an apocalyptic number.

It is an amenable number.

2221001331104 is an abundant number, since it is smaller than the sum of its proper divisors (2228167608496).

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

2221001331104 is a wasteful number, since it uses less digits than its factorization.

2221001331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2221001331104 its reverse (4011331001222), we get a palindrome (6232332332326).

The spelling of 2221001331104 in words is "two trillion, two hundred twenty-one billion, one million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 89 178 197 356 394 712 788 1229 1424 1576 2458 2848 3152 3221 4916 6304 6442 9832 12884 17533 19664 25768 35066 39328 51536 70132 103072 109381 140264 218762 242113 280528 286669 437524 484226 561056 573338 634537 875048 968452 1146676 1269074 1750096 1936904 2293352 2538148 3500192 3873808 3958609 4586704 5076296 7747616 7917218 9173408 10152592 15834436 20305184 21548057 31668872 43096114 56473793 63337744 86192228 112947586 126675488 172384456 225895172 344768912 352316201 451790344 689537824 704632402 779845973 903580688 1409264804 1559691946 1807161376 2818529608 3119383892 5637059216 6238767784 11274118432 12477535568 24955071136 69406291597 138812583194 277625166388 555250332776 1110500665552 2221001331104