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230114000000412 = 223411179360705127
BaseRepresentation
bin110100010100100110010111…
…001110100101010110011100
31010011202200110022102212110000
4310110212113032211112130
5220130141433000003122
62133224525012214300
766320121303022203
oct6424462716452634
91104680408385400
10230114000000412
1167359887a38a80
122198577500a390
139b52870819978
1440b781150823a
151b90bd71d60ac
hexd149973a559c

230114000000412 has 120 divisors (see below), whose sum is σ = 659917245778560. Its totient is φ = 69341953422240.

The previous prime is 230114000000371. The next prime is 230114000000509. The reversal of 230114000000412 is 214000000411032.

230114000000412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2301140000004122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179714608 + ... + 180990519.

It is an arithmetic number, because the mean of its divisors is an integer number (5499310381488).

Almost surely, 2230114000000412 is an apocalyptic number.

230114000000412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230114000000412 is an abundant number, since it is smaller than the sum of its proper divisors (429803245778148).

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

230114000000412 is a wasteful number, since it uses less digits than its factorization.

230114000000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360705333 (or 360705322 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 230114000000412 its reverse (214000000411032), we get a palindrome (444114000411444).

The spelling of 230114000000412 in words is "two hundred thirty trillion, one hundred fourteen billion, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 179 198 297 324 358 396 537 594 716 891 1074 1188 1611 1782 1969 2148 3222 3564 3938 4833 5907 6444 7876 9666 11814 14499 17721 19332 23628 28998 35442 53163 57996 70884 106326 159489 212652 318978 637956 360705127 721410254 1082115381 1442820508 2164230762 3246346143 3967756397 4328461524 6492692286 7935512794 9739038429 11903269191 12985384572 15871025588 19478076858 23806538382 29217115287 35709807573 38956153716 47613076764 58434230574 64566217733 71419615146 107129422719 116868461148 129132435466 142839230292 193698653199 214258845438 258264870932 321388268157 387397306398 428517690876 581095959597 642776536314 710228395063 774794612796 1162191919194 1285553072628 1420456790126 1743287878791 2130685185189 2324383838388 2840913580252 3486575757582 4261370370378 5229863636373 6392055555567 6973151515164 8522740740756 10459727272746 12784111111134 19176166666701 20919454545492 25568222222268 38352333333402 57528500000103 76704666666804 115057000000206 230114000000412