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102223010110100 = 225211307302703613
BaseRepresentation
bin10111001111100010100110…
…001101001001101010010100
3111101221102110100000202210012
4113033202212031021222110
5101344310211042010400
61001224334052215352
730350240325252365
oct2717424615115224
9441842410022705
10102223010110100
112a631598293480
12b56b60730a558
134506785bb8339
141b35897743b6c
15bc40c5d7bd35
hex5cf8a6349a94

102223010110100 has 72 divisors (see below), whose sum is σ = 242777984943648. Its totient is φ = 37050922108800.

The previous prime is 102223010110087. The next prime is 102223010110153. The reversal of 102223010110100 is 1011010322201.

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 23 ways as a sum of consecutive naturals, for example, 151014107 + ... + 151689506.

Almost surely, 2102223010110100 is an apocalyptic number.

102223010110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223010110100 is an abundant number, since it is smaller than the sum of its proper divisors (140554974833548).

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

102223010110100 is a wasteful number, since it uses less digits than its factorization.

102223010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302703945 (or 302703938 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102223010110100 its reverse (1011010322201), we get a palindrome (103234020432301).

The spelling of 102223010110100 in words is "one hundred two trillion, two hundred twenty-three billion, ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 307 550 614 1100 1228 1535 3070 3377 6140 6754 7675 13508 15350 16885 30700 33770 67540 84425 168850 337700 302703613 605407226 1210814452 1513518065 3027036130 3329739743 6054072260 6659479486 7567590325 13318958972 15135180650 16648698715 30270361300 33297397430 66594794860 83243493575 92930009191 166486987150 185860018382 332973974300 371720036764 464650045955 929300091910 1022230101101 1858600183820 2044460202202 2323250229775 4088920404404 4646500459550 5111150505505 9293000919100 10222301011010 20444602022020 25555752527525 51111505055050 102223010110100