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1132202130320 = 245257103353309
BaseRepresentation
bin10000011110011100100…
…000010111101110010000
311000020102010001111000002
4100132130200113232100
5122022222221132240
62224043152545132
7144541011214262
oct20363440275620
94006363044002
101132202130320
113a718964a138
121635182521a8
13829c6469561
143cb28185b32
151e6b7ab7d15
hex1079c817b90

1132202130320 has 80 divisors (see below), whose sum is σ = 2645220449520. Its totient is φ = 450673508352.

The previous prime is 1132202130281. The next prime is 1132202130337. The reversal of 1132202130320 is 230312022311.

It can be written as a sum of positive squares in 8 ways, for example, as 218365551616 + 913836578704 = 467296^2 + 955948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11322021303202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1132202130292 and 1132202130301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21211826 + ... + 21265134.

It is an arithmetic number, because the mean of its divisors is an integer number (33065255619).

Almost surely, 21132202130320 is an apocalyptic number.

1132202130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132202130320 is an abundant number, since it is smaller than the sum of its proper divisors (1513018319200).

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

1132202130320 is a wasteful number, since it uses less digits than its factorization.

1132202130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54612 (or 54606 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1132202130320 its reverse (230312022311), we get a palindrome (1362514152631).

The spelling of 1132202130320 in words is "one trillion, one hundred thirty-two billion, two hundred two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 1028 1033 1285 2056 2066 2570 4112 4132 5140 5165 8264 10280 10330 16528 20560 20660 41320 53309 82640 106618 213236 265481 266545 426472 530962 533090 852944 1061924 1066180 1327405 2123848 2132360 2654810 4247696 4264720 5309620 10619240 13700413 21238480 27400826 54801652 55068197 68502065 109603304 110136394 137004130 219206608 220272788 274008260 275340985 440545576 548016520 550681970 881091152 1096033040 1101363940 2202727880 4405455760 14152526629 28305053258 56610106516 70762633145 113220213032 141525266290 226440426064 283050532580 566101065160 1132202130320