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1131232020 = 2235176716553
BaseRepresentation
bin100001101101101…
…0011101100010100
32220211121112121020
41003123103230110
54304043411040
6304130121140
740014212352
oct10333235424
92824545536
101131232020
115306073a6
12276a201b0
13150497679
14aa34c7d2
15694a4cd0
hex436d3b14

1131232020 has 96 divisors (see below), whose sum is σ = 3404032128. Its totient is φ = 279662592.

The previous prime is 1131232001. The next prime is 1131232031. The reversal of 1131232020 is 202321311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60064 + ... + 76616.

It is an arithmetic number, because the mean of its divisors is an integer number (35458668).

Almost surely, 21131232020 is an apocalyptic number.

1131232020 is a gapful number since it is divisible by the number (10) 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 1131232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702016064).

1131232020 is an abundant number, since it is smaller than the sum of its proper divisors (2272800108).

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

1131232020 is a wasteful number, since it uses less digits than its factorization.

1131232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16649 (or 16647 counting only the distinct ones).

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

The square root of 1131232020 is about 33633.7928280472. The cubic root of 1131232020 is about 1041.9588390307.

Adding to 1131232020 its reverse (202321311), we get a palindrome (1333553331).

The spelling of 1131232020 in words is "one billion, one hundred thirty-one million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 170 201 204 255 268 335 340 402 510 670 804 1005 1020 1139 1340 2010 2278 3417 4020 4556 5695 6834 11390 13668 16553 17085 22780 33106 34170 49659 66212 68340 82765 99318 165530 198636 248295 281401 331060 496590 562802 844203 993180 1109051 1125604 1407005 1688406 2218102 2814010 3327153 3376812 4221015 4436204 5545255 5628020 6654306 8442030 11090510 13308612 16635765 16884060 18853867 22181020 33271530 37707734 56561601 66543060 75415468 94269335 113123202 188538670 226246404 282808005 377077340 565616010 1131232020