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1121131313120 = 255721311000111
BaseRepresentation
bin10000010100001000101…
…000100011011111100000
310222011211120100200211102
4100110020220203133200
5121332034104004440
62215012434533532
7143666451632300
oct20241050433740
93864746320742
101121131313120
113a2518442335
121613487372a8
1381950978450
143c397b1d600
151e26abdab15
hex10508a237e0

1121131313120 has 144 divisors (see below), whose sum is σ = 3318117784128. Its totient is φ = 354819548160.

The previous prime is 1121131313117. The next prime is 1121131313147. The reversal of 1121131313120 is 213131311211.

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 = 1121131313092 and 1121131313101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5398136 + ... + 5601975.

It is an arithmetic number, because the mean of its divisors is an integer number (23042484612).

Almost surely, 21121131313120 is an apocalyptic number.

1121131313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121131313120 is an abundant number, since it is smaller than the sum of its proper divisors (2196986471008).

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

1121131313120 is a wasteful number, since it uses less digits than its factorization.

1121131313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000153 (or 11000138 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1121131313120 its reverse (213131311211), we get a palindrome (1334262624331).

The spelling of 1121131313120 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1120 1274 1456 1568 1820 1960 2080 2548 2912 3185 3640 3920 5096 6370 7280 7840 10192 12740 14560 20384 25480 50960 101920 11000111 22000222 44000444 55000555 77000777 88000888 110001110 143001443 154001554 176001776 220002220 286002886 308003108 352003552 385003885 440004440 539005439 572005772 616006216 715007215 770007770 880008880 1001010101 1078010878 1144011544 1232012432 1430014430 1540015540 1760017760 2002020202 2156021756 2288023088 2464024864 2695027195 2860028860 3080031080 4004040404 4312043512 4576046176 5005050505 5390054390 5720057720 6160062160 7007070707 8008080808 8624087024 10010101010 10780108780 11440115440 12320124320 14014141414 16016161616 17248174048 20020202020 21560217560 22880230880 28028282828 32032323232 35035353535 40040404040 43120435120 56056565656 70070707070 80080808080 86240870240 112113131312 140141414140 160161616160 224226262624 280282828280 560565656560 1121131313120