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1131020131020 = 2235131450025809
BaseRepresentation
bin10000011101010110000…
…011011001101011001100
311000010100201220200210020
4100131112003121223030
5122012312123143040
62223330010342140
7144466506330213
oct20352603315314
94003321820706
101131020131020
113a673241860a
1216324842a950
13828686084a0
143ca551c007a
151e648e35cd0
hex107560d9acc

1131020131020 has 48 divisors (see below), whose sum is σ = 3410460705120. Its totient is φ = 278404955136.

The previous prime is 1131020131009. The next prime is 1131020131027. The reversal of 1131020131020 is 201310201311.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1131020131027) by changing a digit.

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, 725012125 + ... + 725013684.

It is an arithmetic number, because the mean of its divisors is an integer number (71051264690).

Almost surely, 21131020131020 is an apocalyptic number.

1131020131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131020131020 is an abundant number, since it is smaller than the sum of its proper divisors (2279440574100).

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

1131020131020 is a wasteful number, since it uses less digits than its factorization.

1131020131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450025834 (or 1450025832 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1131020131020 its reverse (201310201311), we get a palindrome (1332330332331).

The spelling of 1131020131020 in words is "one trillion, one hundred thirty-one billion, twenty million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1450025809 2900051618 4350077427 5800103236 7250129045 8700154854 14500258090 17400309708 18850335517 21750387135 29000516180 37700671034 43500774270 56551006551 75401342068 87001548540 94251677585 113102013102 188503355170 226204026204 282755032755 377006710340 565510065510 1131020131020