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122233031130 = 23574735335083
BaseRepresentation
bin111000111010110101…
…0000000100111011010
3102200111122000100100010
41301311222000213122
54000313123444010
6132053022022350
711555022423150
oct1616552004732
9380448010303
10122233031130
11479253a54a1
121b8337179b6
13b6aca12572
145cb7b413d0
1532a6049620
hex1c75a809da

122233031130 has 128 divisors (see below), whose sum is σ = 343380860928. Its totient is φ = 27266291712.

The previous prime is 122233031119. The next prime is 122233031159. The reversal of 122233031130 is 31130332221.

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 = 122233031097 and 122233031106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3466569 + ... + 3501651.

It is an arithmetic number, because the mean of its divisors is an integer number (2682662976).

Almost surely, 2122233031130 is an apocalyptic number.

122233031130 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 122233031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171690430464).

122233031130 is an abundant number, since it is smaller than the sum of its proper divisors (221147829798).

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

122233031130 is a wasteful number, since it uses less digits than its factorization.

122233031130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35500.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122233031130 its reverse (31130332221), we get a palindrome (153363363351).

The spelling of 122233031130 in words is "one hundred twenty-two billion, two hundred thirty-three million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 353 470 658 705 706 987 1059 1410 1645 1765 1974 2118 2471 3290 3530 4935 4942 5295 7413 9870 10590 12355 14826 16591 24710 33182 35083 37065 49773 70166 74130 82955 99546 105249 116137 165910 175415 210498 232274 245581 248865 348411 350830 491162 497730 526245 580685 696822 736743 1052490 1161370 1227905 1473486 1648901 1742055 2455810 3297802 3484110 3683715 4946703 7367430 8244505 9893406 11542307 12384299 16489010 23084614 24733515 24768598 34626921 37152897 49467030 57711535 61921495 69253842 74305794 86690093 115423070 123842990 173134605 173380186 185764485 260070279 346269210 371528970 433450465 520140558 582062053 866900930 1164124106 1300351395 1746186159 2600702790 2910310265 3492372318 4074434371 5820620530 8148868742 8730930795 12223303113 17461861590 20372171855 24446606226 40744343710 61116515565 122233031130