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142213000120 = 23583370911549
BaseRepresentation
bin1000010001110010001…
…1100010101110111000
3111121002001211221012121
42010130203202232320
54312223012000440
6145155354051024
713163112361462
oct2043443425670
9447061757177
10142213000120
1155348592964
122368aa19a74
13105451c5919
146c514d1132
153a7515a34a
hex211c8e2bb8

142213000120 has 64 divisors (see below), whose sum is σ = 323949780000. Its totient is φ = 56179819008.

The previous prime is 142213000087. The next prime is 142213000159. The reversal of 142213000120 is 21000312241.

It is a super-2 number, since 2×1422130001202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142213000094 and 142213000103.

It is a congruent number.

It is an unprimeable number.

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, 12308106 + ... + 12319654.

Almost surely, 2142213000120 is an apocalyptic number.

142213000120 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 142213000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161974890000).

142213000120 is an abundant number, since it is smaller than the sum of its proper divisors (181736779880).

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

142213000120 is a wasteful number, since it uses less digits than its factorization.

142213000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15352 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 142213000120 its reverse (21000312241), we get a palindrome (163213312361).

The spelling of 142213000120 in words is "one hundred forty-two billion, two hundred thirteen million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 3709 7418 11549 14836 18545 23098 29672 37090 46196 57745 74180 92392 115490 148360 230980 307847 461960 615694 958567 1231388 1539235 1917134 2462776 3078470 3834268 4792835 6156940 7668536 9585670 12313880 19171340 38342680 42835241 85670482 171340964 214176205 342681928 428352410 856704820 1713409640 3555325003 7110650006 14221300012 17776625015 28442600024 35553250030 71106500060 142213000120