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101022663880 = 23517585125391
BaseRepresentation
bin101111000010101101…
…0111000010011001000
3100122202102222001100201
41132011122320103020
53123343300221010
6114224214141544
710204302321565
oct1360532702310
9318672861321
10101022663880
1139930729666
12176b43518b4
1396ac6536b8
144c64bcb86c
152963de623a
hex17856b84c8

101022663880 has 64 divisors (see below), whose sum is σ = 240722254080. Its totient is φ = 38024064000.

The previous prime is 101022663869. The next prime is 101022663883. The reversal of 101022663880 is 88366220101.

It is a happy number.

It is a super-2 number, since 2×1010226638802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101022663883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3965985 + ... + 3991375.

It is an arithmetic number, because the mean of its divisors is an integer number (3761285220).

Almost surely, 2101022663880 is an apocalyptic number.

101022663880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022663880 is an abundant number, since it is smaller than the sum of its proper divisors (139699590200).

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

101022663880 is a wasteful number, since it uses less digits than its factorization.

101022663880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31270 (or 31266 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

Adding to 101022663880 its reverse (88366220101), we get a palindrome (189388883981).

The spelling of 101022663880 in words is "one hundred one billion, twenty-two million, six hundred sixty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 5851 11702 23404 25391 29255 46808 50782 58510 99467 101564 117020 126955 198934 203128 234040 253910 397868 431647 497335 507820 795736 863294 994670 1015640 1726588 1989340 2158235 3453176 3978680 4316470 8632940 17265880 148562741 297125482 594250964 742813705 1188501928 1485627410 2525566597 2971254820 5051133194 5942509640 10102266388 12627832985 20204532776 25255665970 50511331940 101022663880