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31543964130 = 235733198887
BaseRepresentation
bin11101011000001010…
…101011000111100010
310000102100112101222210
4131120022223013202
51004100223323010
622254024342550
72164455162000
oct353012530742
9100370471883
1031543964130
1112417822148
126144014a56
132c8920b343
141753513a70
15c49459b20
hex7582ab1e2

31543964130 has 128 divisors (see below), whose sum is σ = 91135180800. Its totient is φ = 6977396160.

The previous prime is 31543964119. The next prime is 31543964159. The reversal of 31543964130 is 3146934513.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 269547 + ... + 368433.

It is an arithmetic number, because the mean of its divisors is an integer number (711993600).

Almost surely, 231543964130 is an apocalyptic number.

31543964130 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 31543964130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45567590400).

31543964130 is an abundant number, since it is smaller than the sum of its proper divisors (59591216670).

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

31543964130 is a wasteful number, since it uses less digits than its factorization.

31543964130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98949 (or 98935 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 31543964130 in words is "thirty-one billion, five hundred forty-three million, nine hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 343 434 465 490 651 686 735 930 1029 1085 1302 1470 1519 1715 2058 2170 3038 3255 3430 4557 5145 6510 7595 9114 10290 10633 15190 21266 22785 31899 45570 53165 63798 98887 106330 159495 197774 296661 318990 494435 593322 692209 988870 1384418 1483305 2076627 2966610 3065497 3461045 4153254 4845463 6130994 6922090 9196491 9690926 10383135 14536389 15327485 18392982 20766270 21458479 24227315 29072778 30654970 33918241 42916958 45982455 48454630 64375437 67836482 72681945 91964910 101754723 107292395 128750874 145363890 150209353 169591205 203509446 214584790 300418706 321877185 339182410 450628059 508773615 643754370 751046765 901256118 1017547230 1051465471 1502093530 2102930942 2253140295 3154396413 4506280590 5257327355 6308792826 10514654710 15771982065 31543964130