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12300337998 = 23313172633919
BaseRepresentation
bin10110111010010100…
…00100001101001110
31011202020020220122000
423131022010031032
5200142341303443
65352314533130
7613546101504
oct133512041516
934666226560
1012300337998
115242246aa3
1224734371a6
131210450410
1484987c674
154bece98d3
hex2dd28434e

12300337998 has 128 divisors (see below), whose sum is σ = 31294771200. Its totient is φ = 3547639296.

The previous prime is 12300337967. The next prime is 12300338021. The reversal of 12300337998 is 89973300321.

12300337998 is a `hidden beast` number, since 1 + 2 + 300 + 337 + 9 + 9 + 8 = 666.

It is a congruent number.

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, 3136683 + ... + 3140601.

It is an arithmetic number, because the mean of its divisors is an integer number (244490400).

Almost surely, 212300337998 is an apocalyptic number.

12300337998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300337998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647385600).

12300337998 is an abundant number, since it is smaller than the sum of its proper divisors (18994433202).

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

12300337998 is a wasteful number, since it uses less digits than its factorization.

12300337998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 12300337998 in words is "twelve billion, three hundred million, three hundred thirty-seven thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 263 306 351 442 459 526 663 702 789 918 1326 1578 1989 2367 3419 3919 3978 4471 4734 5967 6838 7101 7838 8942 10257 11757 11934 13413 14202 20514 23514 26826 30771 35271 40239 50947 58123 61542 66623 70542 80478 92313 101894 105813 116246 120717 133246 152841 174369 184626 199869 211626 241434 305682 348738 399738 458523 523107 599607 866099 917046 1030697 1046214 1199214 1375569 1569321 1732198 1798821 2061394 2598297 2751138 3092091 3138642 3597642 5196594 6184182 7794891 9276273 13399061 15589782 17521849 18552546 23384673 26798122 27828819 35043698 40197183 46769346 52565547 55657638 80394366 105131094 120591549 157696641 227784037 241183098 315393282 361774647 455568074 473089923 683352111 723549294 946179846 1366704222 2050056333 4100112666 6150168999 12300337998