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123150216 = 2337612197
BaseRepresentation
bin1110101011100…
…01111110001000
322120201200100010
413111301332020
5223011301331
620115311520
73023521350
oct725617610
9276650303
10123150216
1163573642
12352ab5a0
131c68aa67
14124d9b60
15ac28e46
hex7571f88

123150216 has 96 divisors (see below), whose sum is σ = 359536320. Its totient is φ = 34433280.

The previous prime is 123150161. The next prime is 123150233. The reversal of 123150216 is 612051321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 123150192 and 123150201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625030 + ... + 625226.

It is an arithmetic number, because the mean of its divisors is an integer number (3745170).

Almost surely, 2123150216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123150216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179768160).

123150216 is an abundant number, since it is smaller than the sum of its proper divisors (236386104).

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

123150216 is a wasteful number, since it uses less digits than its factorization.

123150216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 123150216 is about 11097.3067002764. The cubic root of 123150216 is about 497.5213542680.

The spelling of 123150216 in words is "one hundred twenty-three million, one hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 197 244 366 394 427 488 591 732 788 854 1182 1281 1379 1464 1576 1708 2364 2562 2758 3416 3721 4137 4728 5124 5516 7442 8274 10248 11032 11163 12017 14884 16548 22326 24034 26047 29768 33096 36051 44652 48068 52094 72102 78141 84119 89304 96136 104188 144204 156282 168238 208376 252357 288408 312564 336476 504714 625128 672952 733037 1009428 1466074 2018856 2199111 2932148 4398222 5131259 5864296 8796444 10262518 15393777 17592888 20525036 30787554 41050072 61575108 123150216