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1020155030532 = 2232111928638269
BaseRepresentation
bin11101101100001011111…
…10100110110000000100
310121112012100200001122100
432312011332212300010
5113203234141434112
62100352554432100
7133463251454001
oct16660576466004
93545170601570
101020155030532
11363710a12720
12145867a32630
137527ab14001
14375391668a8
151b80ae072dc
hexed85fa6c04

1020155030532 has 216 divisors, whose sum is σ = 2972808034560. Its totient is φ = 292492736640.

The previous prime is 1020155030449. The next prime is 1020155030561. The reversal of 1020155030532 is 2350305510201.

It is a happy number.

1020155030532 is a `hidden beast` number, since 10 + 20 + 1 + 550 + 30 + 53 + 2 = 666.

1020155030532 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10201550305324 (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020155030496 and 1020155030505.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123366894 + ... + 123375162.

It is an arithmetic number, because the mean of its divisors is an integer number (13763000160).

Almost surely, 21020155030532 is an apocalyptic number.

1020155030532 is a gapful number since it is divisible by the number (12) 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 1020155030532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486404017280).

1020155030532 is an abundant number, since it is smaller than the sum of its proper divisors (1952653004028).

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

1020155030532 is a wasteful number, since it uses less digits than its factorization.

1020155030532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 1020155030532 in words is "one trillion, twenty billion, one hundred fifty-five million, thirty thousand, five hundred thirty-two".