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1130132111010 = 235726340135099
BaseRepresentation
bin10000011100100001000…
…111110111111010100010
311000001001211221121100020
4100130201013313322202
5122004002310023020
62223101525134310
7144435504305460
oct20344107677242
94001054847306
101130132111010
113a6317128a81
1216303ab5a396
1382756647966
143c9ad2a1830
151e5e5ec3c40
hex107211f7ea2

1130132111010 has 128 divisors (see below), whose sum is σ = 3112962969600. Its totient is φ = 257219141376.

The previous prime is 1130132110909. The next prime is 1130132111021. The reversal of 1130132111010 is 101112310311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221635441 + ... + 221640539.

It is an arithmetic number, because the mean of its divisors is an integer number (24320023200).

Almost surely, 21130132111010 is an apocalyptic number.

1130132111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130132111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556481484800).

1130132111010 is an abundant number, since it is smaller than the sum of its proper divisors (1982830858590).

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

1130132111010 is a wasteful number, since it uses less digits than its factorization.

1130132111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1130132111010 its reverse (101112310311), we get a palindrome (1231244421321).

The spelling of 1130132111010 in words is "one trillion, one hundred thirty billion, one hundred thirty-two million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 263 526 789 1315 1578 1841 2630 3682 3945 4013 5099 5523 7890 8026 9205 10198 11046 12039 15297 18410 20065 24078 25495 27615 28091 30594 35693 40130 50990 55230 56182 60195 71386 76485 84273 107079 120390 140455 152970 168546 178465 214158 280910 356930 421365 535395 842730 1055419 1070790 1341037 2110838 2682074 3166257 4023111 5277095 6332514 6705185 7387933 8046222 9387259 10554190 13410370 14775866 15831285 18774518 20115555 20462287 22163799 28161777 31662570 36939665 40231110 40924574 44327598 46936295 56323554 61386861 73879330 93872590 102311435 110818995 122773722 140808885 143236009 204622870 221637990 281617770 286472018 306934305 429708027 613868610 716180045 859416054 1432360090 2148540135 4297080270 5381581481 10763162962 16144744443 26907907405 32289488886 37671070367 53815814810 75342140734 80723722215 113013211101 161447444430 188355351835 226026422202 376710703670 565066055505 1130132111010