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101223210120 = 23352413500111
BaseRepresentation
bin101111001000101011…
…1111001110010001000
3100200021102022212002020
41132101113321302020
53124301120210440
6114300140404440
710212256042524
oct1362127716210
9320242285066
10101223210120
1139a23954a5a
121774b546720
13971206c506
144c836b2d84
15297680c3d0
hex17915f9c88

101223210120 has 64 divisors (see below), whose sum is σ = 304929757440. Its totient is φ = 26880844800.

The previous prime is 101223210091. The next prime is 101223210131. The reversal of 101223210120 is 21012322101.

It is a super-2 number, since 2×1012232101202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101223210120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721136 + ... + 1778975.

It is an arithmetic number, because the mean of its divisors is an integer number (4764527460).

Almost surely, 2101223210120 is an apocalyptic number.

101223210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223210120 is an abundant number, since it is smaller than the sum of its proper divisors (203706547320).

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

101223210120 is a wasteful number, since it uses less digits than its factorization.

101223210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500366 (or 3500362 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101223210120 its reverse (21012322101), we get a palindrome (122235532221).

The spelling of 101223210120 in words is "one hundred one billion, two hundred twenty-three million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2892 3615 4820 5784 7230 9640 14460 28920 3500111 7000222 10500333 14000444 17500555 21000666 28000888 35001110 42001332 52501665 70002220 84002664 105003330 140004440 210006660 420013320 843526751 1687053502 2530580253 3374107004 4217633755 5061160506 6748214008 8435267510 10122321012 12652901265 16870535020 20244642024 25305802530 33741070040 50611605060 101223210120