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1132201013320 = 23513382915541
BaseRepresentation
bin10000011110011100011…
…100000111000001001000
311000020102000221201202201
4100132130130013001020
5122022221424411240
62224043113005544
7144540665552566
oct20363434070110
94006360851681
101132201013320
113a7188a569a3
121635179b38b4
13829c6168000
143cb27d74a36
151e6b7946d9a
hex1079c707048

1132201013320 has 128 divisors (see below), whose sum is σ = 2763150012000. Its totient is φ = 417512309760.

The previous prime is 1132201013291. The next prime is 1132201013369. The reversal of 1132201013320 is 233101022311.

It can be written as a sum of positive squares in 16 ways, for example, as 231489925956 + 900711087364 = 481134^2 + 949058^2 .

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, 72844750 + ... + 72860290.

Almost surely, 21132201013320 is an apocalyptic number.

1132201013320 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 1132201013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381575006000).

1132201013320 is an abundant number, since it is smaller than the sum of its proper divisors (1630948998680).

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

1132201013320 is a wasteful number, since it uses less digits than its factorization.

1132201013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16420 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1132201013320 its reverse (233101022311), we get a palindrome (1365302035631).

The spelling of 1132201013320 in words is "one trillion, one hundred thirty-two billion, two hundred one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 829 845 1352 1658 1690 2197 3316 3380 4145 4394 6632 6760 8290 8788 10777 10985 15541 16580 17576 21554 21970 31082 33160 43108 43940 53885 62164 77705 86216 87880 107770 124328 140101 155410 202033 215540 280202 310820 404066 431080 560404 621640 700505 808132 1010165 1120808 1401010 1616264 1821313 2020330 2626429 2802020 3642626 4040660 5252858 5604040 7285252 8081320 9106565 10505716 12883489 13132145 14570504 18213130 21011432 25766978 26264290 34143577 36426260 51533956 52528580 64417445 68287154 72852520 103067912 105057160 128834890 136574308 167485357 170717885 257669780 273148616 334970714 341435770 515339560 669941428 682871540 837426785 1339882856 1365743080 1674853570 2177309641 3349707140 4354619282 6699414280 8709238564 10886548205 17418477128 21773096410 28305025333 43546192820 56610050666 87092385640 113220101332 141525126665 226440202664 283050253330 566100506660 1132201013320