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123013276350 = 23526730234049
BaseRepresentation
bin111001010010000101…
…0011010001010111110
3102202112000011220120020
41302210022122022332
54003412344320400
6132302253233010
711613245411436
oct1624412321276
9382460156506
10123013276350
1148195873258
121ba10a92766
13b7a5569823
145d4d6072c6
1532ee7bd2a0
hex1ca429a2be

123013276350 has 96 divisors (see below), whose sum is σ = 309805171200. Its totient is φ = 32295267840.

The previous prime is 123013276349. The next prime is 123013276357. The reversal of 123013276350 is 53672310321.

It is a super-2 number, since 2×1230132763502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013276357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30379126 + ... + 30383174.

It is an arithmetic number, because the mean of its divisors is an integer number (3227137200).

Almost surely, 2123013276350 is an apocalyptic number.

123013276350 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 123013276350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154902585600).

123013276350 is an abundant number, since it is smaller than the sum of its proper divisors (186791894850).

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

123013276350 is a wasteful number, since it uses less digits than its factorization.

123013276350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

Adding to 123013276350 its reverse (53672310321), we get a palindrome (176685586671).

The spelling of 123013276350 in words is "one hundred twenty-three billion, thirteen million, two hundred seventy-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 3023 3350 4049 5025 6046 8098 9069 10050 12147 15115 18138 20245 24294 30230 40490 45345 60735 75575 90690 101225 121470 151150 202450 202541 226725 271283 303675 405082 453450 542566 607350 607623 813849 1012705 1215246 1356415 1627698 2025410 2712830 3038115 4069245 5063525 6076230 6782075 8138490 10127050 12240127 13564150 15190575 20346225 24480254 30381150 36720381 40692450 61200635 73440762 122401270 183601905 306003175 367203810 612006350 820088509 918009525 1640177018 1836019050 2460265527 4100442545 4920531054 8200885090 12301327635 20502212725 24602655270 41004425450 61506638175 123013276350