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122100030 = 232513791321
BaseRepresentation
bin1110100011100…
…01100100111110
322111202022202100
413101301210332
5222224200110
620041005530
73011555523
oct721614476
9274668670
10122100030
1162a16618
1234a838a6
131c3b0a50
141230514a
15aabcbc0
hex747193e

122100030 has 96 divisors (see below), whose sum is σ = 346469760. Its totient is φ = 29652480.

The previous prime is 122100029. The next prime is 122100053. The reversal of 122100030 is 30001221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122099985 and 122100021.

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, 91770 + ... + 93090.

It is an arithmetic number, because the mean of its divisors is an integer number (3609060).

Almost surely, 2122100030 is an apocalyptic number.

122100030 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 122100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173234880).

122100030 is an abundant number, since it is smaller than the sum of its proper divisors (224369730).

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

122100030 is a wasteful number, since it uses less digits than its factorization.

122100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122100030 is about 11049.8882347289. Note that the first 3 decimals coincide. The cubic root of 122100030 is about 496.1030802713.

Adding to 122100030 its reverse (30001221), we get a palindrome (152101251).

The spelling of 122100030 in words is "one hundred twenty-two million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 79 90 117 130 158 195 234 237 390 395 474 585 711 790 1027 1170 1185 1321 1422 2054 2370 2642 3081 3555 3963 5135 6162 6605 7110 7926 9243 10270 11889 13210 15405 17173 18486 19815 23778 30810 34346 39630 46215 51519 59445 85865 92430 103038 104359 118890 154557 171730 208718 257595 309114 313077 515190 521795 626154 772785 939231 1043590 1356667 1545570 1565385 1878462 2713334 3130770 4070001 4696155 6783335 8140002 9392310 12210003 13566670 20350005 24420006 40700010 61050015 122100030