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30312113000 = 23531314915649
BaseRepresentation
bin11100001110101111…
…100010001101101000
32220020111120212220212
4130032233202031220
5444034400104000
621531501440252
72122106465201
oct341657421550
986214525825
1030312113000
1111945441164
125a5b570088
132b20c44450
141677a925a8
15bc622bc35
hex70ebe2368

30312113000 has 128 divisors (see below), whose sum is σ = 76904100000. Its totient is φ = 11116339200.

The previous prime is 30312112991. The next prime is 30312113003. The reversal of 30312113000 is 31121303.

It can be written as a sum of positive squares in 16 ways, for example, as 15846277924 + 14465835076 = 125882^2 + 120274^2 .

It is not an unprimeable number, because it can be changed into a prime (30312113003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929176 + ... + 1944824.

Almost surely, 230312113000 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 30312113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38452050000).

30312113000 is an abundant number, since it is smaller than the sum of its proper divisors (46591987000).

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

30312113000 is a wasteful number, since it uses less digits than its factorization.

30312113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 30312113000 its reverse (31121303), we get a palindrome (30343234303).

The spelling of 30312113000 in words is "thirty billion, three hundred twelve million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 149 200 250 260 298 325 500 520 596 650 745 1000 1192 1300 1490 1625 1937 2600 2980 3250 3725 3874 5960 6500 7450 7748 9685 13000 14900 15496 15649 18625 19370 29800 31298 37250 38740 48425 62596 74500 77480 78245 96850 125192 149000 156490 193700 203437 242125 312980 387400 391225 406874 484250 625960 782450 813748 968500 1017185 1564900 1627496 1937000 1956125 2034370 2331701 3129800 3912250 4068740 4663402 5085925 7824500 8137480 9326804 10171850 11658505 15649000 18653608 20343700 23317010 25429625 30312113 40687400 46634020 50859250 58292525 60624226 93268040 101718500 116585050 121248452 151560565 203437000 233170100 242496904 291462625 303121130 466340200 582925250 606242260 757802825 1165850500 1212484520 1515605650 2331701000 3031211300 3789014125 6062422600 7578028250 15156056500 30312113000