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112131032130 = 23451319560459
BaseRepresentation
bin110100001101110000…
…1111100010001000010
3101201102121022121220000
41220123201330101002
53314121021012010
6123302353100430
711046466022055
oct1503341742102
9351377277800
10112131032130
1143611054097
1219894557716
13a75cb61770
1455da22aa9c
152db423e7c0
hex1a1b87c442

112131032130 has 160 divisors (see below), whose sum is σ = 341790926400. Its totient is φ = 26148728448.

The previous prime is 112131032129. The next prime is 112131032131. The reversal of 112131032130 is 31230131211.

112131032130 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 310 + 321 + 30 = 666.

112131032130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112131032129) and next prime (112131032131).

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

It is not an unprimeable number, because it can be changed into a prime (112131032131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80160 + ... + 480299.

It is an arithmetic number, because the mean of its divisors is an integer number (2136193290).

Almost surely, 2112131032130 is an apocalyptic number.

112131032130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112131032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170895463200).

112131032130 is an abundant number, since it is smaller than the sum of its proper divisors (229659894270).

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

112131032130 is a wasteful number, since it uses less digits than its factorization.

112131032130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560510 (or 560501 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112131032130 its reverse (31230131211), we get a palindrome (143361163341).

The spelling of 112131032130 in words is "one hundred twelve billion, one hundred thirty-one million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 390 405 494 513 570 585 702 741 810 855 1026 1053 1170 1235 1482 1539 1710 1755 2106 2223 2470 2565 3078 3510 3705 4446 5130 5265 6669 7410 7695 10530 11115 13338 15390 20007 22230 33345 40014 66690 100035 200070 560459 1120918 1681377 2802295 3362754 5044131 5604590 7285967 8406885 10088262 10648721 14571934 15132393 16813770 21297442 21857901 25220655 30264786 31946163 36429835 43715802 45397179 50441310 53243605 63892326 65573703 72859670 75661965 90794358 95838489 106487210 109289505 131147406 138433373 151323930 159730815 191676978 196721109 218579010 226985895 276866746 287515467 319461630 327868515 393442218 415300119 453971790 479192445 575030934 590163327 655737030 692166865 830600238 862546401 958384890 983605545 1180326654 1245900357 1384333730 1437577335 1725092802 1967211090 2076500595 2491800714 2875154670 2950816635 3737701071 4153001190 4312732005 5901633270 6229501785 7475402142 8625464010 11213103213 12459003570 18688505355 22426206426 37377010710 56065516065 112131032130