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1131133011320 = 2351317612097643
BaseRepresentation
bin10000011101011100110…
…010000000010101111000
311000010122121022121110002
4100131130302000111320
5122013030022330240
62223345122012132
7144502346646254
oct20353462002570
94003577277402
101131133011320
113a6790107214
1216327a1a7048
1382885b0b870
143ca661a5264
151e653cd1d15
hex1075cc80578

1131133011320 has 128 divisors (see below), whose sum is σ = 2949623087040. Its totient is φ = 386637373440.

The previous prime is 1131133011319. The next prime is 1131133011331. The reversal of 1131133011320 is 231103311311.

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 = 1131133011292 and 1131133011301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509582 + ... + 1588061.

Almost surely, 21131133011320 is an apocalyptic number.

1131133011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131133011320 is an abundant number, since it is smaller than the sum of its proper divisors (1818490075720).

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

1131133011320 is a wasteful number, since it uses less digits than its factorization.

1131133011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097745 (or 2097741 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1131133011320 its reverse (231103311311), we get a palindrome (1362236322631).

The spelling of 1131133011320 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-three million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 61 65 68 85 104 122 130 136 170 221 244 260 305 340 442 488 520 610 680 793 884 1037 1105 1220 1586 1768 2074 2210 2440 3172 3965 4148 4420 5185 6344 7930 8296 8840 10370 13481 15860 20740 26962 31720 41480 53924 67405 107848 134810 269620 539240 2097643 4195286 8390572 10488215 16781144 20976430 27269359 35659931 41952860 54538718 71319862 83905720 109077436 127956223 136346795 142639724 178299655 218154872 255912446 272693590 285279448 356599310 463579103 511824892 545387180 639781115 713198620 927158206 1023649784 1090774360 1279562230 1426397240 1663430899 1854316412 2175255791 2317895515 2559124460 3326861798 3708632824 4350511582 4635791030 5118248920 6653723596 8317154495 8701023164 9271582060 10876278955 13307447192 16634308990 17402046328 18543164120 21752557910 28278325283 33268617980 43505115820 56556650566 66537235960 87010231640 113113301132 141391626415 226226602264 282783252830 565566505660 1131133011320