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123133122030100 = 225271317795947783
BaseRepresentation
bin11011111111110100101001…
…111111111010101000010100
3121010222102002222122010011211
4123333310221333322220110
5112114403113214430400
61113514324135311204
734636034360056210
oct3377645177725024
9533872088563154
10123133122030100
1136263511348486
121198803551b504
1353925328a0890
142259963d21940
15e37e95d58dba
hex6ffd29ffaa14

123133122030100 has 144 divisors (see below), whose sum is σ = 348204868962048. Its totient is φ = 36677273794560.

The previous prime is 123133122030091. The next prime is 123133122030137. The reversal of 123133122030100 is 1030221331321.

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, 397819192 + ... + 398128591.

It is an arithmetic number, because the mean of its divisors is an integer number (2418089367792).

Almost surely, 2123133122030100 is an apocalyptic number.

123133122030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123133122030100 is an abundant number, since it is smaller than the sum of its proper divisors (225071746931948).

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

123133122030100 is a wasteful number, since it uses less digits than its factorization.

123133122030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795947834 (or 795947827 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123133122030100 its reverse (1030221331321), we get a palindrome (124163343361421).

The spelling of 123133122030100 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, one hundred twenty-two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 17 20 25 26 28 34 35 50 52 65 68 70 85 91 100 119 130 140 170 175 182 221 238 260 325 340 350 364 425 442 455 476 595 650 700 850 884 910 1105 1190 1300 1547 1700 1820 2210 2275 2380 2975 3094 4420 4550 5525 5950 6188 7735 9100 11050 11900 15470 22100 30940 38675 77350 154700 795947783 1591895566 3183791132 3979738915 5571634481 7959477830 10347321179 11143268962 13531112311 15918955660 19898694575 20694642358 22286537924 27062224622 27858172405 39797389150 41389284716 51736605895 54124449244 55716344810 67655561555 72431248253 79594778300 94717786177 103473211790 111432689620 135311123110 139290862025 144862496506 175904460043 189435572354 206946423580 258683029475 270622246220 278581724050 289724993012 338277807775 351808920086 362156241265 378871144708 473588930885 517366058950 557163448100 676555615550 703617840172 724312482530 879522300215 947177861770 1034732117900 1231331220301 1353111231100 1448624965060 1759044600430 1810781206325 1894355723540 2367944654425 2462662440602 3518089200860 3621562412650 4397611501075 4735889308850 4925324881204 6156656101505 7243124825300 8795223002150 9471778617700 12313312203010 17590446004300 24626624406020 30783280507525 61566561015050 123133122030100