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11331400020 = 22351812514157
BaseRepresentation
bin10101000110110011…
…10111000101010100
31002020201000202121020
422203121313011110
5141201314300040
65112223121140
7550542211443
oct124331670524
932221022536
1011331400020
114895309606
122242a431b0
1310b779a735
14796cd8d5a
15464c01cd0
hex2a3677154

11331400020 has 96 divisors (see below), whose sum is σ = 32038022016. Its totient is φ = 2992320000.

The previous prime is 11331399923. The next prime is 11331400021. The reversal of 11331400020 is 2000413311.

11331400020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331400021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2723782 + ... + 2727938.

It is an arithmetic number, because the mean of its divisors is an integer number (333729396).

Almost surely, 211331400020 is an apocalyptic number.

11331400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331400020 is an abundant number, since it is smaller than the sum of its proper divisors (20706621996).

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

11331400020 is a wasteful number, since it uses less digits than its factorization.

11331400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11331400020 its reverse (2000413311), we get a palindrome (13331813331).

The spelling of 11331400020 in words is "eleven billion, three hundred thirty-one million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 251 362 502 543 724 753 905 1004 1086 1255 1506 1810 2172 2510 2715 3012 3620 3765 4157 5020 5430 7530 8314 10860 12471 15060 16628 20785 24942 41570 45431 49884 62355 83140 90862 124710 136293 181724 227155 249420 272586 454310 545172 681465 752417 908620 1043407 1362930 1504834 2086814 2257251 2725860 3009668 3130221 3762085 4173628 4514502 5217035 6260442 7524170 9029004 10434070 11286255 12520884 15048340 15651105 20868140 22572510 31302210 45145020 62604420 188856667 377713334 566570001 755426668 944283335 1133140002 1888566670 2266280004 2832850005 3777133340 5665700010 11331400020