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102211131030 = 23583317129491
BaseRepresentation
bin101111100110001000…
…0100001011010010110
3100202211021021102210120
41133030100201122112
53133312022143110
6114542151132410
710245613164441
oct1371420413226
9322737242716
10102211131030
113a390578618
1217986374106
13983b93a6b8
144d38998658
1529d3404870
hex17cc421696

102211131030 has 64 divisors (see below), whose sum is σ = 249047301888. Its totient is φ = 26842759040.

The previous prime is 102211130951. The next prime is 102211131053. The reversal of 102211131030 is 30131112201.

It is a happy number.

102211131030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724585 + ... + 854075.

It is an arithmetic number, because the mean of its divisors is an integer number (3891364092).

Almost surely, 2102211131030 is an apocalyptic number.

102211131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102211131030 is an abundant number, since it is smaller than the sum of its proper divisors (146836170858).

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

102211131030 is a wasteful number, since it uses less digits than its factorization.

102211131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129901.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102211131030 its reverse (30131112201), we get a palindrome (132342243231).

The spelling of 102211131030 in words is "one hundred two billion, two hundred eleven million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 317 415 498 634 830 951 1245 1585 1902 2490 3170 4755 9510 26311 52622 78933 129491 131555 157866 258982 263110 388473 394665 647455 776946 789330 1294910 1942365 3884730 10747753 21495506 32243259 41048647 53738765 64486518 82097294 107477530 123145941 161216295 205243235 246291882 322432590 410486470 615729705 1231459410 3407037701 6814075402 10221113103 17035188505 20442226206 34070377010 51105565515 102211131030