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1000113111330 = 235378914516977
BaseRepresentation
bin11101000110110110110…
…00110000000100100010
310112121110121021002001120
432203123120300010202
5112341212424030310
62043240130513110
7132153510116454
oct16433330600442
93477417232046
101000113111330
11356166862133
121419b3a35796
1373405850118
143659748c2d4
151b03665ab70
hexe8db630122

1000113111330 has 128 divisors (see below), whose sum is σ = 2494917469440. Its totient is φ = 256359628800.

The previous prime is 1000113111329. The next prime is 1000113111409. The reversal of 1000113111330 is 331113110001.

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

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, 143340802 + ... + 143347778.

It is an arithmetic number, because the mean of its divisors is an integer number (19491542730).

Almost surely, 21000113111330 is an apocalyptic number.

1000113111330 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 1000113111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247458734720).

1000113111330 is an abundant number, since it is smaller than the sum of its proper divisors (1494804358110).

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

1000113111330 is a wasteful number, since it uses less digits than its factorization.

1000113111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1000113111330 its reverse (331113110001), we get a palindrome (1331226221331).

The spelling of 1000113111330 in words is "one trillion, one hundred thirteen million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 89 111 178 185 222 267 370 445 534 555 890 1110 1335 1451 2670 2902 3293 4353 6586 6977 7255 8706 9879 13954 14510 16465 19758 20931 21765 32930 34885 41862 43530 49395 53687 69770 98790 104655 107374 129139 161061 209310 258149 258278 268435 322122 387417 516298 536870 620953 645695 774447 774834 805305 1241906 1290745 1291390 1548894 1610610 1862859 1937085 2581490 3104765 3725718 3872235 3874170 4778143 6209530 7744470 9314295 9556286 10123627 14334429 18628590 20247254 22975261 23890715 28668858 30370881 45950522 47781430 50618135 60741762 68925783 71672145 101236270 114876305 137851566 143344290 151854405 229752610 303708810 344628915 374574199 689257830 749148398 901002803 1123722597 1802005606 1872870995 2247445194 2703008409 3745741990 4505014015 5406016818 5618612985 9010028030 11237225970 13515042045 27030084090 33337103711 66674207422 100011311133 166685518555 200022622266 333371037110 500056555665 1000113111330