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1130233011219 = 331329434754941
BaseRepresentation
bin10000011100100111001…
…000110001110000010011
311000001022212210212102000
4100130213020301300103
5122004204122324334
62223115531525043
7144441141040254
oct20344710616023
94001285725360
101130233011219
113a6369084884
121630688b9783
1382771515120
143c9bc848b2b
151e5eeca5299
hex10727231c13

1130233011219 has 128 divisors (see below), whose sum is σ = 1949430067200. Its totient is φ = 641959395840.

The previous prime is 1130233011181. The next prime is 1130233011227. The reversal of 1130233011219 is 9121103320311.

1130233011219 is a `hidden beast` number, since 1 + 1 + 302 + 330 + 1 + 1 + 21 + 9 = 666.

It is not a de Polignac number, because 1130233011219 - 216 = 1130232945683 is a prime.

It is a super-2 number, since 2×11302330112192 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1130233011192 and 1130233011201.

It is not an unprimeable number, because it can be changed into a prime (1130233011239) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 20544289 + ... + 20599229.

It is an arithmetic number, because the mean of its divisors is an integer number (15229922400).

Almost surely, 21130233011219 is an apocalyptic number.

1130233011219 is a deficient number, since it is larger than the sum of its proper divisors (819197055981).

1130233011219 is a wasteful number, since it uses less digits than its factorization.

1130233011219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55082 (or 55076 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1130233011219 in words is "one trillion, one hundred thirty billion, two hundred thirty-three million, eleven thousand, two hundred nineteen".

Divisors: 1 3 9 13 27 29 39 43 47 87 117 129 141 261 351 377 387 423 559 611 783 1131 1161 1247 1269 1363 1677 1833 2021 3393 3741 4089 5031 5499 6063 10179 11223 12267 15093 16211 16497 17719 18189 26273 33669 36801 48633 53157 54567 54941 58609 78819 145899 159471 164823 175827 236457 437697 478413 494469 527481 709371 714233 761917 1483407 1582443 1593289 2142699 2285751 2362463 2582227 4779867 6428097 6857253 7087389 7746681 14339601 19284291 20571759 20712757 21262167 23240043 30712019 33568951 43018803 62138271 63786501 68511427 69720129 74884583 92136057 100706853 111035761 186414813 205534281 224653749 276408171 302120559 333107283 559244439 616602843 673961247 829224513 890648551 906361677 973499579 999321849 1443464893 1849808529 2021883741 2671945653 2920498737 2997965547 3220037069 4330394679 8015836959 8761496211 9660111207 12991184037 24047510877 26284488633 28980333621 38973552111 41860481897 86941000863 125581445691 376744337073 1130233011219