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102213110013030 = 23255805719561831
BaseRepresentation
bin10111001111011001011000…
…000111010001110001100110
3111101220110220101020201201100
4113033121120013101301212
5101344124422130404110
61001220015434540530
730346440102646542
oct2717313007216146
9441813811221640
10102213110013030
112a628377a03a75
12b569703897746
134505868b09433
141b351d8988a22
15bc3be6b54bc0
hex5cf6581d1c66

102213110013030 has 48 divisors (see below), whose sum is σ = 265758677087904. Its totient is φ = 27256358459520.

The previous prime is 102213110012999. The next prime is 102213110013031. The reversal of 102213110013030 is 30310011312201.

102213110013030 is a `hidden beast` number, since 1 + 0 + 221 + 311 + 0 + 0 + 130 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102213110012994 and 102213110013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213110013031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4555786 + ... + 15006045.

It is an arithmetic number, because the mean of its divisors is an integer number (5536639105998).

Almost surely, 2102213110013030 is an apocalyptic number.

102213110013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213110013030 is an abundant number, since it is smaller than the sum of its proper divisors (163545567074874).

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

102213110013030 is a wasteful number, since it uses less digits than its factorization.

102213110013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19619901 (or 19619898 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102213110013030 its reverse (30310011312201), we get a palindrome (132523121325231).

The spelling of 102213110013030 in words is "one hundred two trillion, two hundred thirteen billion, one hundred ten million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 58057 116114 174171 290285 348342 522513 580570 870855 1045026 1741710 2612565 5225130 19561831 39123662 58685493 97809155 117370986 176056479 195618310 293427465 352112958 586854930 880282395 1760564790 1135701222367 2271402444734 3407103667101 5678506111835 6814207334202 10221311001303 11357012223670 17035518335505 20442622002606 34071036671010 51106555006515 102213110013030