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30201204120 = 23353753128341
BaseRepresentation
bin11100001000001000…
…011100110110011000
32212221202220010112120
4130020020130312120
5443323002012440
621512500341240
72116261666533
oct341010346630
985852803476
1030201204120
111189887972a
125a2a3a4820
132b03c814a9
141667061a1a
15bbb61edd0
hex70821cd98

30201204120 has 128 divisors (see below), whose sum is σ = 94808802240. Its totient is φ = 7688079360.

The previous prime is 30201204119. The next prime is 30201204161. The reversal of 30201204120 is 2140210203.

It is a super-2 number, since 2×302012041202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30201204120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171150 + ... + 299490.

Almost surely, 230201204120 is an apocalyptic number.

30201204120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47404401120).

30201204120 is an abundant number, since it is smaller than the sum of its proper divisors (64607598120).

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

30201204120 is a wasteful number, since it uses less digits than its factorization.

30201204120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128445 (or 128441 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30201204120 its reverse (2140210203), we get a palindrome (32341414323).

The spelling of 30201204120 in words is "thirty billion, two hundred one million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 53 60 74 106 111 120 148 159 185 212 222 265 296 318 370 424 444 530 555 636 740 795 888 1060 1110 1272 1480 1590 1961 2120 2220 3180 3922 4440 5883 6360 7844 9805 11766 15688 19610 23532 29415 39220 47064 58830 78440 117660 128341 235320 256682 385023 513364 641705 770046 1026728 1283410 1540092 1925115 2566820 3080184 3850230 4748617 5133640 6802073 7700460 9497234 13604146 14245851 15400920 18994468 20406219 23743085 27208292 28491702 34010365 37988936 40812438 47486170 54416584 56983404 68020730 71229255 81624876 94972340 102031095 113966808 136041460 142458510 163249752 189944680 204062190 251676701 272082920 284917020 408124380 503353402 569834040 755030103 816248760 1006706804 1258383505 1510060206 2013413608 2516767010 3020120412 3775150515 5033534020 6040240824 7550301030 10067068040 15100602060 30201204120