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142232210120 = 235711137348661
BaseRepresentation
bin1000010001110110110…
…0110100101011001000
3111121010101222220101002
42010131230310223020
54312242421210440
6145201321514132
713163434560350
oct2043554645310
9447111886332
10142232210120
11553584136a0
1223695342948
13105491905a0
146c53c91b60
153a76ba2115
hex211db34ac8

142232210120 has 256 divisors, whose sum is σ = 435575508480. Its totient is φ = 40360550400.

The previous prime is 142232210077. The next prime is 142232210137. The reversal of 142232210120 is 21012232241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142232210092 and 142232210101.

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 63 ways as a sum of consecutive naturals, for example, 2898590 + ... + 2947250.

It is an arithmetic number, because the mean of its divisors is an integer number (1701466830).

Almost surely, 2142232210120 is an apocalyptic number.

142232210120 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 142232210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217787754240).

142232210120 is an abundant number, since it is smaller than the sum of its proper divisors (293343298360).

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

142232210120 is a wasteful number, since it uses less digits than its factorization.

142232210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48776 (or 48772 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142232210120 its reverse (21012232241), we get a palindrome (163244442361).

The spelling of 142232210120 in words is "one hundred forty-two billion, two hundred thirty-two million, two hundred ten thousand, one hundred twenty".