Search a number
-
+
123010022100 = 223527292019869
BaseRepresentation
bin111001010001111110…
…1111111101011010100
3102202111210001120120110
41302203331333223110
54003411031201400
6132302055403020
711613205636020
oct1624375775324
9382453046513
10123010022100
1148193a50299
121ba0b983470
13b7a499a534
145d4cddb380
1532ee378e50
hex1ca3f7fad4

123010022100 has 144 divisors (see below), whose sum is σ = 420779318400. Its totient is φ = 27147025920.

The previous prime is 123010022027. The next prime is 123010022123. The reversal of 123010022100 is 1220010321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 949035 + ... + 1070834.

It is an arithmetic number, because the mean of its divisors is an integer number (2922078600).

Almost surely, 2123010022100 is an apocalyptic number.

123010022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123010022100 is an abundant number, since it is smaller than the sum of its proper divisors (297769296300).

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

123010022100 is a wasteful number, since it uses less digits than its factorization.

123010022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019922 (or 2019915 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 123010022100 its reverse (1220010321), we get a palindrome (124230032421).

The spelling of 123010022100 in words is "one hundred twenty-three billion, ten million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 8700 10150 12180 15225 20300 30450 60900 2019869 4039738 6059607 8079476 10099345 12119214 14139083 20198690 24238428 28278166 30298035 40397380 42417249 50496725 56556332 58576201 60596070 70695415 84834498 100993450 117152402 121192140 141390830 151490175 169668996 175728603 201986900 212086245 234304804 282781660 292881005 302980350 351457206 353477075 410033407 424172490 585762010 605960700 702914412 706954150 820066814 848344980 878643015 1060431225 1171524020 1230100221 1413908300 1464405025 1640133628 1757286030 2050167035 2120862450 2460200442 2928810050 3514572060 4100334070 4241724900 4393215075 4920400884 5857620100 6150501105 8200668140 8786430150 10250835175 12301002210 17572860300 20501670350 24602004420 30752505525 41003340700 61505011050 123010022100