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10132102002 = 2311237194009
BaseRepresentation
bin10010110111110101…
…11001101101110010
3222011010100010000010
421123322321231302
5131222304231002
64353222035350
7506040305661
oct113372715562
928133303003
1010132102002
11432a342220
121b69278b56
13c56190939
146c190cdd8
153e47a446c
hex25beb9b72

10132102002 has 64 divisors (see below), whose sum is σ = 23392696320. Its totient is φ = 2895446400.

The previous prime is 10132101977. The next prime is 10132102003. The reversal of 10132102002 is 20020123101.

It is not an unprimeable number, because it can be changed into a prime (10132102003) 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, 60774 + ... + 154782.

It is an arithmetic number, because the mean of its divisors is an integer number (365510880).

Almost surely, 210132102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696348160).

10132102002 is an abundant number, since it is smaller than the sum of its proper divisors (13260594318).

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

10132102002 is a wasteful number, since it uses less digits than its factorization.

10132102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94119.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10132102002 its reverse (20020123101), we get a palindrome (30152225103).

The spelling of 10132102002 in words is "ten billion, one hundred thirty-two million, one hundred two thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 71 138 142 213 253 426 506 759 781 1518 1562 1633 2343 3266 4686 4899 9798 17963 35926 53889 94009 107778 188018 282027 564054 1034099 2068198 2162207 3102297 4324414 6204594 6486621 6674639 12973242 13349278 20023917 23784277 40047834 47568554 71352831 73421029 142705662 146842058 153516697 220263087 307033394 440526174 460550091 921100182 1688683667 3377367334 5066051001 10132102002