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122330303130 = 23574115119403
BaseRepresentation
bin111000111101101110…
…1000100101010011010
3102200202102001021102210
41301323131010222122
54001013024200010
6132110414535550
711560313264040
oct1617335045232
9380672037383
10122330303130
11479752a3382
121b8602075b6
13b6c6c0c469
145cc6a22390
1532ae860b20
hex1c7b744a9a

122330303130 has 128 divisors (see below), whose sum is σ = 343982370816. Its totient is φ = 27258278400.

The previous prime is 122330303119. The next prime is 122330303189. The reversal of 122330303130 is 31303033221.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122330303097 and 122330303106.

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, 13005009 + ... + 13014411.

It is an arithmetic number, because the mean of its divisors is an integer number (2687362272).

Almost surely, 2122330303130 is an apocalyptic number.

122330303130 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 122330303130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171991185408).

122330303130 is an abundant number, since it is smaller than the sum of its proper divisors (221652067686).

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

122330303130 is a wasteful number, since it uses less digits than its factorization.

122330303130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 122330303130 its reverse (31303033221), we get a palindrome (153633336351).

The spelling of 122330303130 in words is "one hundred twenty-two billion, three hundred thirty million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1511 1722 2870 3022 4305 4533 7555 8610 9066 9403 10577 15110 18806 21154 22665 28209 31731 45330 47015 52885 56418 61951 63462 65821 94030 105770 123902 131642 141045 158655 185853 197463 282090 309755 317310 329105 371706 385523 394926 433657 619510 658210 771046 867314 929265 987315 1156569 1300971 1858530 1927615 1974630 2168285 2313138 2601942 2698661 3855230 4336570 5397322 5782845 6504855 8095983 11565690 13009710 13493305 14207933 16191966 26986610 28415866 40479915 42623799 71039665 80959830 85247598 99455531 142079330 198911062 213118995 298366593 426237990 497277655 582525253 596733186 994555310 1165050506 1491832965 1747575759 2912626265 2983665930 3495151518 4077676771 5825252530 8155353542 8737878795 12233030313 17475757590 20388383855 24466060626 40776767710 61165151565 122330303130