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1131001020 = 2232516193881
BaseRepresentation
bin100001101101001…
…1011010010111100
32220211011210201200
41003122123102330
54304014013040
6304121135500
740012231032
oct10332332274
92824153650
101131001020
11530469896
1227692a590
13150416496
14aa2cc552
156945b630
hex4369b4bc

1131001020 has 72 divisors (see below), whose sum is σ = 3433706640. Its totient is φ = 301336320.

The previous prime is 1131001019. The next prime is 1131001097. The reversal of 1131001020 is 201001311.

1131001020 is digitally balanced in base 4, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 1131000993 and 1131001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289480 + ... + 293360.

It is an arithmetic number, because the mean of its divisors is an integer number (47690370).

Almost surely, 21131001020 is an apocalyptic number.

1131001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131001020 is an abundant number, since it is smaller than the sum of its proper divisors (2302705620).

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

1131001020 is a wasteful number, since it uses less digits than its factorization.

1131001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1131001020 is about 33630.3586064734. The cubic root of 1131001020 is about 1041.8879107941.

Adding to 1131001020 its reverse (201001311), we get a palindrome (1332002331).

The spelling of 1131001020 in words is "one billion, one hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1619 3238 3881 4857 6476 7762 8095 9714 11643 14571 15524 16190 19405 19428 23286 24285 29142 32380 34929 38810 46572 48570 58215 58284 69858 72855 77620 97140 116430 139716 145710 174645 232860 291420 349290 698580 6283339 12566678 18850017 25133356 31416695 37700034 56550051 62833390 75400068 94250085 113100102 125666780 188500170 226200204 282750255 377000340 565500510 1131001020