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1100491830660 = 2235107257666989
BaseRepresentation
bin10000000000111010011…
…011001011010110000100
310220012120011112100120010
4100000322123023112010
5121012301402040120
62201320423110220
7142336133135115
oct20007233132604
93805504470503
101100491830660
11394796a48712
121593485a2370
137ca1195cb31
143b39a93420c
151d95dc537e0
hex1003a6cb584

1100491830660 has 96 divisors (see below), whose sum is σ = 3122281572480. Its totient is φ = 289590181888.

The previous prime is 1100491830649. The next prime is 1100491830671. The reversal of 1100491830660 is 660381940011.

It is an interprime number because it is at equal distance from previous prime (1100491830649) and next prime (1100491830671).

It is a super-2 number, since 2×11004918306602 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316446 + ... + 1983434.

It is an arithmetic number, because the mean of its divisors is an integer number (32523766380).

Almost surely, 21100491830660 is an apocalyptic number.

1100491830660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100491830660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561140786240).

1100491830660 is an abundant number, since it is smaller than the sum of its proper divisors (2021789741820).

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

1100491830660 is a wasteful number, since it uses less digits than its factorization.

1100491830660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667365 (or 667363 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 1100491830660 in words is "one trillion, one hundred billion, four hundred ninety-one million, eight hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 257 321 428 514 535 642 771 1028 1070 1284 1285 1542 1605 2140 2570 3084 3210 3855 5140 6420 7710 15420 27499 54998 82497 109996 137495 164994 274990 329988 412485 549980 666989 824970 1333978 1649940 2000967 2667956 3334945 4001934 6669890 8003868 10004835 13339780 20009670 40019340 71367823 142735646 171416173 214103469 285471292 342832346 356839115 428206938 514248519 685664692 713678230 856413876 857080865 1028497038 1070517345 1427356460 1714161730 2056994076 2141034690 2571242595 3428323460 4282069380 5142485190 10284970380 18341530511 36683061022 55024591533 73366122044 91707652555 110049183066 183415305110 220098366132 275122957665 366830610220 550245915330 1100491830660