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102123022330200 = 23352378377371699
BaseRepresentation
bin10111001110000101011110…
…011110000010100101011000
3111101120212101000101021100210
4113032011132132002211120
5101341140422204031300
61001110400243131120
730340100460201114
oct2716053636024530
9441525330337323
10102123022330200
112a5a3148844533
12b554161673aa0
1344ca20ca96b31
141b30ad0184744
15bc16c2c58050
hex5ce15e782958

102123022330200 has 384 divisors, whose sum is σ = 329485224096000. Its totient is φ = 26143316305920.

The previous prime is 102123022330181. The next prime is 102123022330211. The reversal of 102123022330200 is 2033220321201.

It is a happy number.

It is a super-2 number, since 2×1021230223302002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1424293951 + ... + 1424365649.

It is an arithmetic number, because the mean of its divisors is an integer number (858034437750).

Almost surely, 2102123022330200 is an apocalyptic number.

102123022330200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123022330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164742612048000).

102123022330200 is an abundant number, since it is smaller than the sum of its proper divisors (227362201765800).

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

102123022330200 is a wasteful number, since it uses less digits than its factorization.

102123022330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72611 (or 72602 counting only the distinct ones).

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

Adding to 102123022330200 its reverse (2033220321201), we get a palindrome (104156242651401).

The spelling of 102123022330200 in words is "one hundred two trillion, one hundred twenty-three billion, twenty-two million, three hundred thirty thousand, two hundred".