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1031132123120 = 2451123371376899
BaseRepresentation
bin11110000000101000100…
…00111000111111110000
310122120112101000010211002
433000110100320333300
5113343224310414440
62105410123541132
7134332262301251
oct17002420707760
93576471003732
101031132123120
11368334224870
12147a1008a7a8
137630a07aa78
1437c9ad92b28
151bc4e96e115
hexf014438ff0

1031132123120 has 160 divisors (see below), whose sum is σ = 2802795609600. Its totient is φ = 348961029120.

The previous prime is 1031132123113. The next prime is 1031132123123. The reversal of 1031132123120 is 213212311301.

It is a happy number.

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 = 1031132123092 and 1031132123101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031132123123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60431 + ... + 1437329.

It is an arithmetic number, because the mean of its divisors is an integer number (17517472560).

Almost surely, 21031132123120 is an apocalyptic number.

1031132123120 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 1031132123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401397804800).

1031132123120 is an abundant number, since it is smaller than the sum of its proper divisors (1771663486480).

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

1031132123120 is a wasteful number, since it uses less digits than its factorization.

1031132123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376983 (or 1376977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1031132123120 its reverse (213212311301), we get a palindrome (1244344434421).

The spelling of 1031132123120 in words is "one trillion, thirty-one billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 37 40 44 46 55 74 80 88 92 110 115 148 176 184 185 220 230 253 296 368 370 407 440 460 506 592 740 814 851 880 920 1012 1265 1480 1628 1702 1840 2024 2035 2530 2960 3256 3404 4048 4070 4255 5060 6512 6808 8140 8510 9361 10120 13616 16280 17020 18722 20240 32560 34040 37444 46805 68080 74888 93610 149776 187220 374440 748880 1376899 2753798 5507596 6884495 11015192 13768990 15145889 22030384 27537980 30291778 31668677 50945263 55075960 60583556 63337354 75729445 101890526 110151920 121167112 126674708 151458890 158343385 203781052 242334224 253349416 254726315 302917780 316686770 348355447 407562104 506698832 509452630 560397893 605835560 633373540 696710894 815124208 1018905260 1120795786 1171741049 1211671120 1266747080 1393421788 1741777235 2037810520 2241591572 2343482098 2533494160 2786843576 2801989465 3483554470 4075621040 4483183144 4686964196 5573687152 5603978930 5858705245 6967108940 8966366288 9373928392 11207957860 11717410490 12889151539 13934217880 18747856784 22415915720 23434820980 25778303078 27868435760 44831831440 46869641960 51556606156 64445757695 93739283920 103113212312 128891515390 206226424624 257783030780 515566061560 1031132123120