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31310123130 = 23451113270311
BaseRepresentation
bin11101001010001110…
…101001000001111010
32222211001112001110000
4131022032221001322
51003110342420010
622214512333430
72155615440546
oct351216510172
988731461400
1031310123130
1112307825a20
126099844276
132c4c9359a0
141730442a26
15c33b687c0
hex74a3a907a

31310123130 has 160 divisors (see below), whose sum is σ = 98908242048. Its totient is φ = 7006435200.

The previous prime is 31310123029. The next prime is 31310123147. The reversal of 31310123130 is 3132101313.

It is a happy number.

31310123130 is a `hidden beast` number, since 31 + 310 + 12 + 313 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 19326 + ... + 250985.

Almost surely, 231310123130 is an apocalyptic number.

31310123130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31310123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49454121024).

31310123130 is an abundant number, since it is smaller than the sum of its proper divisors (67598118918).

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

31310123130 is a wasteful number, since it uses less digits than its factorization.

31310123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270354 (or 270345 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31310123130 its reverse (3132101313), we get a palindrome (34442224443).

The spelling of 31310123130 in words is "thirty-one billion, three hundred ten million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 81 90 99 110 117 130 135 143 162 165 195 198 234 270 286 297 330 351 390 405 429 495 585 594 702 715 810 858 891 990 1053 1170 1287 1430 1485 1755 1782 2106 2145 2574 2970 3510 3861 4290 4455 5265 6435 7722 8910 10530 11583 12870 19305 23166 38610 57915 115830 270311 540622 810933 1351555 1621866 2432799 2703110 2973421 3514043 4054665 4865598 5946842 7028086 7298397 8109330 8920263 10542129 12163995 14596794 14867105 17570215 17840526 21084258 21895191 24327990 26760789 29734210 31626387 35140430 36491985 38654473 43790382 44601315 52710645 53521578 63252774 72983970 77308946 80282367 89202630 94879161 105421290 109475955 115963419 133803945 158131935 160564734 189758322 193272365 218951910 231926838 240847101 267607890 284637483 316263870 347890257 386544730 401411835 474395805 481694202 569274966 579817095 695780514 802823670 948791610 1043670771 1159634190 1204235505 1423187415 1739451285 2087341542 2408471010 2846374830 3131012313 3478902570 5218353855 6262024626 10436707710 15655061565 31310123130