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102022310000 = 2454134191873
BaseRepresentation
bin101111100000100000…
…0001110100001110000
3100202100002222100001002
41133001000032201300
53132420202410000
6114511324101132
710241131220012
oct1370100164160
9322302870032
10102022310000
113a2a3a30586
12179330947a8
13980b798790
144d1b8861b2
1529c1a578d5
hex17c100e870

102022310000 has 200 divisors, whose sum is σ = 266783914320. Its totient is φ = 37559808000.

The previous prime is 102022309999. The next prime is 102022310063. The reversal of 102022310000 is 13220201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1020223100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54469064 + ... + 54470936.

Almost surely, 2102022310000 is an apocalyptic number.

102022310000 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 102022310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133391957160).

102022310000 is an abundant number, since it is smaller than the sum of its proper divisors (164761604320).

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

102022310000 is a wasteful number, since it uses less digits than its factorization.

102022310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 102022310000 its reverse (13220201), we get a palindrome (102035530201).

The spelling of 102022310000 in words is "one hundred two billion, twenty-two million, three hundred ten thousand".