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30002100432 = 2436116761357
BaseRepresentation
bin11011111100010000…
…111011100011010000
32212102220020121121220
4123330100323203100
5442421014203212
621441025045040
72111323434363
oct337420734320
985386217556
1030002100432
11117a6449127
125993786780
132aa194c165
1416488340da
15ba8de138c
hex6fc43b8d0

30002100432 has 80 divisors (see below), whose sum is σ = 79249011072. Its totient is φ = 9777692160.

The previous prime is 30002100407. The next prime is 30002100437. The reversal of 30002100432 is 23400120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002100437) 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, 458298 + ... + 519654.

Almost surely, 230002100432 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 30002100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624505536).

30002100432 is an abundant number, since it is smaller than the sum of its proper divisors (49246910640).

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

30002100432 is a wasteful number, since it uses less digits than its factorization.

30002100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61596 (or 61590 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30002100432 its reverse (23400120003), we get a palindrome (53402220435).

The spelling of 30002100432 in words is "thirty billion, two million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 167 183 244 334 366 488 501 668 732 976 1002 1336 1464 2004 2672 2928 4008 8016 10187 20374 30561 40748 61122 61357 81496 122244 122714 162992 184071 244488 245428 368142 488976 490856 736284 981712 1472568 2945136 3742777 7485554 10246619 11228331 14971108 20493238 22456662 29942216 30739857 40986476 44913324 59884432 61479714 81972952 89826648 122959428 163945904 179653296 245918856 491837712 625043759 1250087518 1875131277 2500175036 3750262554 5000350072 7500525108 10000700144 15001050216 30002100432