Search a number
-
+
1132020002322 = 2321179569127189
BaseRepresentation
bin10000011110010001101…
…001100110111000010010
311000012221102100102100200
4100132101221212320102
5122021334110033242
62224013125200030
7144533340153666
oct20362151467022
94005842312320
101132020002322
113a70a5863730
12163487260016
13829977cbc01
143cb0bcd68a6
151e6a6ade04c
hex10791a66e12

1132020002322 has 96 divisors (see below), whose sum is σ = 2714336352000. Its totient is φ = 338096229120.

The previous prime is 1132020002303. The next prime is 1132020002327. The reversal of 1132020002322 is 2232000202311.

1132020002322 is a `hidden beast` number, since 1 + 1 + 320 + 20 + 0 + 0 + 2 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1132020002295 and 1132020002304.

It is not an unprimeable number, because it can be changed into a prime (1132020002327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8836704 + ... + 8963892.

It is an arithmetic number, because the mean of its divisors is an integer number (28274337000).

Almost surely, 21132020002322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132020002322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357168176000).

1132020002322 is an abundant number, since it is smaller than the sum of its proper divisors (1582316349678).

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

1132020002322 is a wasteful number, since it uses less digits than its factorization.

1132020002322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127856 (or 127853 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1132020002322 its reverse (2232000202311), we get a palindrome (3364020204633).

The spelling of 1132020002322 in words is "one trillion, one hundred thirty-two billion, twenty million, two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 569 711 869 1138 1422 1707 1738 2607 3414 5121 5214 6259 7821 10242 12518 15642 18777 37554 44951 56331 89902 112662 127189 134853 254378 269706 381567 404559 494461 763134 809118 988922 1144701 1399079 1483383 2289402 2798158 2966766 4197237 4450149 8394474 8900298 10047931 12591711 20095862 25183422 30143793 60287586 72370541 90431379 110527241 144741082 180862758 217111623 221054482 331581723 434223246 651334869 663163446 796075951 994745169 1302669738 1592151902 1989490338 2388227853 4776455706 5717272739 7164683559 11434545478 14329367118 17151818217 34303636434 51455454651 62890000129 102910909302 125780000258 188670000387 377340000774 566010001161 1132020002322