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1100111099990 = 2571915737913901
BaseRepresentation
bin10000000000100011101…
…110110011100001010110
310220011120122010020021012
4100000203232303201112
5121011011420144430
62201214542452222
7142323531030140
oct20004356634126
93804518106235
101100111099990
11394611044071
12159260b94072
137c980b07206
143b362147c90
151d93a5e9695
hex10023bb3856

1100111099990 has 128 divisors (see below), whose sum is σ = 2403867110400. Its totient is φ = 354091046400.

The previous prime is 1100111099987. The next prime is 1100111100007. The reversal of 1100111099990 is 999901110011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79132040 + ... + 79145940.

It is an arithmetic number, because the mean of its divisors is an integer number (18780211800).

Almost surely, 21100111099990 is an apocalyptic number.

1100111099990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100111099990 is an abundant number, since it is smaller than the sum of its proper divisors (1303756010410).

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

1100111099990 is a wasteful number, since it uses less digits than its factorization.

1100111099990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470.

The product of its (nonzero) digits is 6561, while the sum is 41.

The spelling of 1100111099990 in words is "one trillion, one hundred billion, one hundred eleven million, ninety-nine thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 157 190 266 314 379 665 758 785 1099 1330 1570 1895 2198 2653 2983 3790 5306 5495 5966 7201 10990 13265 13901 14402 14915 20881 26530 27802 29830 36005 41762 50407 59503 69505 72010 97307 100814 104405 119006 139010 194614 208810 252035 264119 297515 416521 486535 504070 528238 595030 833042 973070 1130557 1320595 1848833 2082605 2182457 2261114 2641190 3697666 4165210 4364914 5268479 5652785 7913899 9244165 10536958 10912285 11305570 15277199 15827798 18488330 21824570 26342395 30554398 36879353 39569495 41466683 52684790 73758706 76385995 79138990 82933366 100101101 152771990 184396765 200202202 207333415 290266781 368793530 414666830 500505505 580533562 700707707 827151203 1001011010 1401415414 1451333905 1654302406 2902667810 3503538535 4135756015 5790058421 7007077070 8271512030 11580116842 15715872857 28950292105 31431745714 57900584210 78579364285 110011109999 157158728570 220022219998 550055549995 1100111099990