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23131442126130 = 23513313233381223
BaseRepresentation
bin1010100001001101101010…
…11001000001110100110010
310000220100021222021121212120
411100212311121001310302
511012441143141014010
6121110234322335110
74605122461640502
oct520466531016462
9100810258247776
1023131442126130
117408a98054618
1227170411ba496
13cba3936c6420
1459d7d3d79a02
152a1a7dd54e70
hex1509b5641d32

23131442126130 has 128 divisors (see below), whose sum is σ = 60003337185792. Its totient is φ = 5673199454208.

The previous prime is 23131442126077. The next prime is 23131442126161. The reversal of 23131442126130 is 3162124413132.

It is a super-2 number, since 2×231314421261302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23131442126091 and 23131442126100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284748699 + ... + 284829921.

It is an arithmetic number, because the mean of its divisors is an integer number (468776071764).

Almost surely, 223131442126130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131442126130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30001668592896).

23131442126130 is an abundant number, since it is smaller than the sum of its proper divisors (36871895059662).

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

23131442126130 is a wasteful number, since it uses less digits than its factorization.

23131442126130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83892.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 23131442126130 its reverse (3162124413132), we get a palindrome (26293566539262).

The spelling of 23131442126130 in words is "twenty-three trillion, one hundred thirty-one billion, four hundred forty-two million, one hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 313 390 626 939 1565 1878 2333 3130 4069 4666 4695 6999 8138 9390 11665 12207 13998 20345 23330 24414 30329 34995 40690 60658 61035 69990 81223 90987 122070 151645 162446 181974 243669 303290 406115 454935 487338 730229 812230 909870 1055899 1218345 1460458 2111798 2190687 2436690 3167697 3651145 4381374 5279495 6335394 7302290 9492977 10558990 10953435 15838485 18985954 21906870 25422799 28478931 31676970 47464885 50845598 56957862 76268397 94929770 127113995 142394655 152536794 189493259 254227990 284789310 330496387 378986518 381341985 568479777 660992774 762683970 947466295 991489161 1136959554 1652481935 1894932590 1982978322 2463412367 2842398885 3304963870 4926824734 4957445805 5684797770 7390237101 9914891610 12317061835 14780474202 24634123670 36951185505 59311390067 73902371010 118622780134 177934170201 296556950335 355868340402 593113900670 771048070871 889670851005 1542096141742 1779341702010 2313144212613 3855240354355 4626288425226 7710480708710 11565721063065 23131442126130