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1201112004010 = 251131578537937
BaseRepresentation
bin10001011110100111110…
…110101011010110101010
311020211021120010202201011
4101132213312223112222
5124134334133112020
62315441102414134
7152530450403152
oct21364766532652
94224246122634
101201112004010
11423430460176
12174949b9134a
1389358aac449
14421c40ad762
152139c64335a
hex117a7dab5aa

1201112004010 has 64 divisors (see below), whose sum is σ = 2197877123232. Its totient is φ = 472545755136.

The previous prime is 1201112004007. The next prime is 1201112004017. The reversal of 1201112004010 is 104002111021.

It can be written as a sum of positive squares in 16 ways, for example, as 1436485801 + 1199675518209 = 37901^2 + 1095297^2 .

It is a super-4 number, since 4×12011120040104 (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1201112004017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151326762 + ... + 151334698.

Almost surely, 21201112004010 is an apocalyptic number.

1201112004010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1201112004010 is a deficient number, since it is larger than the sum of its proper divisors (996765119222).

1201112004010 is a wasteful number, since it uses less digits than its factorization.

1201112004010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1201112004010 its reverse (104002111021), we get a palindrome (1305114115031).

The spelling of 1201112004010 in words is "one trillion, two hundred one billion, one hundred twelve million, four thousand, ten".

Divisors: 1 2 5 10 113 157 226 314 565 785 853 1130 1570 1706 4265 7937 8530 15874 17741 35482 39685 79370 88705 96389 133921 177410 192778 267842 481945 669605 896881 963890 1246109 1339210 1793762 2492218 4484405 6230545 6770261 8968810 12461090 13540522 15133073 30266146 33851305 67702610 75665365 140810317 151330730 281620634 704051585 765039493 1062930977 1408103170 1530078986 2125861954 3825197465 5314654885 7650394930 10629309770 120111200401 240222400802 600556002005 1201112004010