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1110021101072 = 241341157829057
BaseRepresentation
bin10000001001110010011…
…010011101011000010000
310221010011021112110002022
4100021302122131120100
5121141310400213242
62205534152311012
7143124233452442
oct20116232353020
93833137473068
101110021101072
11398836a78604
1215b1679a2468
138089cc73090
143ba22360492
151dd1a62b0d2
hex1027269d610

1110021101072 has 80 divisors (see below), whose sum is σ = 2387706937392. Its totient is φ = 496637706240.

The previous prime is 1110021101071. The next prime is 1110021101081. The reversal of 1110021101072 is 2701011200111.

It can be written as a sum of positive squares in 8 ways, for example, as 694248902656 + 415772198416 = 833216^2 + 644804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1110021101072.

It is not an unprimeable number, because it can be changed into a prime (1110021101071) 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, 924368 + ... + 1753424.

Almost surely, 21110021101072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110021101072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193853468696).

1110021101072 is an abundant number, since it is smaller than the sum of its proper divisors (1277685836320).

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

1110021101072 is a wasteful number, since it uses less digits than its factorization.

1110021101072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829276 (or 829270 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 1110021101072 its reverse (2701011200111), we get a palindrome (3811032301183).

The spelling of 1110021101072 in words is "one trillion, one hundred ten billion, twenty-one million, one hundred one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 157 164 208 314 328 533 628 656 1066 1256 2041 2132 2512 4082 4264 6437 8164 8528 12874 16328 25748 32656 51496 83681 102992 167362 334724 669448 829057 1338896 1658114 3316228 6632456 10777741 13264912 21555482 33991337 43110964 67982674 86221928 130161949 135965348 172443856 260323898 271930696 441887381 520647796 543861392 883774762 1041295592 1692105337 1767549524 2082591184 3384210674 3535099048 5336639909 6768421348 7070198096 10673279818 13536842696 21346559636 27073685392 42693119272 69376318817 85386238544 138752637634 277505275268 555010550536 1110021101072