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1120110011006 = 271941811126641
BaseRepresentation
bin10000010011001011110…
…000100110001001111110
310222002012101121011201012
4100103023300212021332
5121322441130323011
62214323232515222
7143632241000150
oct20231360461176
93862171534635
101120110011006
113a20439999a8
121611026abb12
138181a1c027c
143c2dc228ad0
151e20b1eca8b
hex104cbc2627e

1120110011006 has 64 divisors (see below), whose sum is σ = 2073119408640. Its totient is φ = 443138688000.

The previous prime is 1120110010979. The next prime is 1120110011051. The reversal of 1120110011006 is 6001100110211.

It is a super-2 number, since 2×11201100110062 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8781446 + ... + 8908086.

It is an arithmetic number, because the mean of its divisors is an integer number (32392490760).

Almost surely, 21120110011006 is an apocalyptic number.

1120110011006 is a deficient number, since it is larger than the sum of its proper divisors (953009397634).

1120110011006 is a wasteful number, since it uses less digits than its factorization.

1120110011006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127521.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1120110011006 its reverse (6001100110211), we get a palindrome (7121210121217).

The spelling of 1120110011006 in words is "one trillion, one hundred twenty billion, one hundred ten million, eleven thousand, six".

Divisors: 1 2 7 14 19 38 41 82 133 266 287 574 779 811 1558 1622 5453 5677 10906 11354 15409 30818 33251 66502 107863 126641 215726 232757 253282 465514 631769 886487 1263538 1772974 2406179 4422383 4812358 5192281 8844766 10384562 16843253 33686506 36345967 72691934 98653339 102705851 197306678 205411702 690573373 718940957 1381146746 1437881914 1951411169 3902822338 4210939891 8421879782 13659878183 27319756366 29476579237 58953158474 80007857929 160015715858 560055005503 1120110011006