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124428133700 = 225213294770223
BaseRepresentation
bin111001111100001111…
…1101010010101000100
3102220011121111002222022
41303320133222111010
54014312100234300
6133054514422312
711663305454123
oct1637037522504
9386147432868
10124428133700
114885148a552
1220146891998
13b96c71aa20
1460454a5aba
153383aea285
hex1cf87ea544

124428133700 has 144 divisors (see below), whose sum is σ = 307210337280. Its totient is φ = 43414049280.

The previous prime is 124428133673. The next prime is 124428133723. The reversal of 124428133700 is 7331824421.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1736789 + ... + 1807011.

It is an arithmetic number, because the mean of its divisors is an integer number (2133405120).

Almost surely, 2124428133700 is an apocalyptic number.

124428133700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124428133700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153605168640).

124428133700 is an abundant number, since it is smaller than the sum of its proper divisors (182782203580).

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

124428133700 is a wasteful number, since it uses less digits than its factorization.

124428133700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70326 (or 70319 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 124428133700 in words is "one hundred twenty-four billion, four hundred twenty-eight million, one hundred thirty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 47 50 52 58 65 94 100 116 130 145 188 235 260 290 325 377 470 580 611 650 725 754 940 1175 1222 1300 1363 1450 1508 1885 2350 2444 2726 2900 3055 3770 4700 5452 6110 6815 7540 9425 12220 13630 15275 17719 18850 27260 30550 34075 35438 37700 61100 68150 70223 70876 88595 136300 140446 177190 280892 351115 354380 442975 702230 885950 912899 1404460 1755575 1771900 1825798 2036467 3300481 3511150 3651596 4072934 4564495 6600962 7022300 8145868 9128990 10182335 13201924 16502405 18257980 20364670 22822475 26474071 33004810 40729340 42906253 45644950 50911675 52948142 66009620 82512025 85812506 91289900 95713949 101823350 105896284 132370355 165024050 171625012 191427898 203646700 214531265 264740710 330048100 382855796 429062530 478569745 529481420 661851775 858125060 957139490 1072656325 1244281337 1323703550 1914278980 2145312650 2392848725 2488562674 2647407100 4290625300 4785697450 4977125348 6221406685 9571394900 12442813370 24885626740 31107033425 62214066850 124428133700