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30420122128 = 2411310114143
BaseRepresentation
bin11100010101001011…
…100011101000010000
32220112000211022120221
4130111023203220100
5444300022402003
621550320442424
72124560525464
oct342513435020
986460738527
1030420122128
11119a0403000
125a8b779414
132b3a430586
14168816a4a4
15bd09647bd
hex7152e3a10

30420122128 has 80 divisors (see below), whose sum is σ = 65474952192. Its totient is φ = 13689456000.

The previous prime is 30420122059. The next prime is 30420122129. The reversal of 30420122128 is 82122102403.

It is not an unprimeable number, because it can be changed into a prime (30420122129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143825 + ... + 2157967.

Almost surely, 230420122128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30420122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32737476096).

30420122128 is an abundant number, since it is smaller than the sum of its proper divisors (35054830064).

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

30420122128 is a wasteful number, since it uses less digits than its factorization.

30420122128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14285 (or 14257 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 30420122128 in words is "thirty billion, four hundred twenty million, one hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 808 968 1111 1331 1616 1936 2222 2662 4444 5324 8888 10648 12221 14143 17776 21296 24442 28286 48884 56572 97768 113144 134431 155573 195536 226288 268862 311146 537724 622292 1075448 1244584 1428443 1711303 2150896 2489168 2856886 3422606 5713772 6845212 11427544 13690424 15712873 18824333 22855088 27380848 31425746 37648666 62851492 75297332 125702984 150594664 172841603 251405968 301189328 345683206 691366412 1382732824 1901257633 2765465648 3802515266 7605030532 15210061064 30420122128