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1012020010020 = 2232516733666667
BaseRepresentation
bin11101011101000010001…
…01111101110000100100
310120202012102012012102100
432232201011331300210
5113040104110310040
62052525433012100
7133054541103015
oct16564105756044
93522172165370
101012020010020
11360216a04378
12144177554030
13745826181c6
1436da699300c
151b4d1b3ab30
hexeba117dc24

1012020010020 has 72 divisors (see below), whose sum is σ = 3088176122304. Its totient is φ = 268255994688.

The previous prime is 1012020010019. The next prime is 1012020010021. The reversal of 1012020010020 is 200100202101.

1012020010020 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 an interprime number because it is at equal distance from previous prime (1012020010019) and next prime (1012020010021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012020009984 and 1012020010011.

It is not an unprimeable number, because it can be changed into a prime (1012020010021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16803274 + ... + 16863393.

It is an arithmetic number, because the mean of its divisors is an integer number (42891335032).

Almost surely, 21012020010020 is an apocalyptic number.

1012020010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012020010020 is an abundant number, since it is smaller than the sum of its proper divisors (2076156112284).

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

1012020010020 is a wasteful number, since it uses less digits than its factorization.

1012020010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666849 (or 33666844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012020010020 its reverse (200100202101), we get a palindrome (1212120212121).

The spelling of 1012020010020 in words is "one trillion, twelve billion, twenty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 33666667 67333334 101000001 134666668 168333335 202000002 303000003 336666670 404000004 505000005 606000006 673333340 1010000010 1212000012 1515000015 2020000020 3030000030 5622333389 6060000060 11244666778 16867000167 22489333556 28111666945 33734000334 50601000501 56223333890 67468000668 84335000835 101202001002 112446667780 168670001670 202404002004 253005002505 337340003340 506010005010 1012020010020