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10102220100 = 22335273731433
BaseRepresentation
bin10010110100010001…
…11010010101000100
3222002001002221202000
421122020322111010
5131142132020400
64350233345300
7505225311510
oct113210722504
928061087660
1010102220100
114314492535
121b5b268230
13c4cc2a63b
146bb971140
153e1d50600
hex25a23a544

10102220100 has 288 divisors, whose sum is σ = 37241783040. Its totient is φ = 2301281280.

The previous prime is 10102220087. The next prime is 10102220101. The reversal of 10102220100 is 102220101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10102220101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7048984 + ... + 7050416.

Almost surely, 210102220100 is an apocalyptic number.

10102220100 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 10102220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620891520).

10102220100 is an abundant number, since it is smaller than the sum of its proper divisors (27139562940).

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

10102220100 is a wasteful number, since it uses less digits than its factorization.

10102220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102220100 its reverse (102220101), we get a palindrome (10204440201).

Subtracting from 10102220100 its reverse (102220101), we obtain a palindrome (9999999999).

The spelling of 10102220100 in words is "ten billion, one hundred two million, two hundred twenty thousand, one hundred".