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23002106430 = 2357128138431
BaseRepresentation
bin10101011011000010…
…000100101000111110
32012101001112002001210
4111123002010220332
5334102014401210
614322250545250
71443004451532
oct253302045076
965331462053
1023002106430
1198340a9016
12455b438226
132227648b84
141182cb9bc2
158e95c8e20
hex55b084a3e

23002106430 has 64 divisors (see below), whose sum is σ = 56183279616. Its totient is φ = 6025824000.

The previous prime is 23002106383. The next prime is 23002106437. The reversal of 23002106430 is 3460120032.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23002106397 and 23002106406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002106437) 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, 579315 + ... + 617745.

It is an arithmetic number, because the mean of its divisors is an integer number (877863744).

Almost surely, 223002106430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23002106430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28091639808).

23002106430 is an abundant number, since it is smaller than the sum of its proper divisors (33181173186).

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

23002106430 is a wasteful number, since it uses less digits than its factorization.

23002106430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38793.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23002106430 its reverse (3460120032), we get a palindrome (26462226462).

The spelling of 23002106430 in words is "twenty-three billion, two million, one hundred six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 281 355 426 562 710 843 1065 1405 1686 2130 2810 4215 8430 19951 38431 39902 59853 76862 99755 115293 119706 192155 199510 230586 299265 384310 576465 598530 1152930 2728601 5457202 8185803 10799111 13643005 16371606 21598222 27286010 32397333 40929015 53995555 64794666 81858030 107991110 161986665 323973330 766736881 1533473762 2300210643 3833684405 4600421286 7667368810 11501053215 23002106430