Search a number
-
+
106611160310600 = 235211471031055709
BaseRepresentation
bin11000001111011001011000…
…010101101110001101001000
3111222110221001001210122201012
4120033121120111232031020
5102433204124014414400
61014424254012143052
731312254636446231
oct3017313025561510
9458427031718635
10106611160310600
1130a735a2714710
12bb59b59a67a88
13476450a32980a
141c48017166088
15c4d30327dd35
hex60f65856e348

106611160310600 has 96 divisors (see below), whose sum is σ = 276157961366400. Its totient is φ = 37942850054400.

The previous prime is 106611160310591. The next prime is 106611160310617. The reversal of 106611160310600 is 6013061116601.

It is a super-2 number, since 2×1066111603106002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515424455 + ... + 515631254.

It is an arithmetic number, because the mean of its divisors is an integer number (2876645430900).

Almost surely, 2106611160310600 is an apocalyptic number.

106611160310600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106611160310600 is an abundant number, since it is smaller than the sum of its proper divisors (169546801055800).

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

106611160310600 is a wasteful number, since it uses less digits than its factorization.

106611160310600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031055783 (or 1031055774 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 106611160310600 in words is "one hundred six trillion, six hundred eleven billion, one hundred sixty million, three hundred ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 1031055709 2062111418 4124222836 5155278545 8248445672 10310557090 11341612799 20621114180 22683225598 25776392725 41242228360 45366451196 48459618323 51552785450 56708063995 90732902392 96919236646 103105570900 113416127990 193838473292 206211141800 226832255980 242298091615 283540319975 387676946584 453664511960 484596183230 533055801553 567080639950 969192366460 1066111603106 1134161279900 1211490458075 1938384732920 2132223206212 2268322559800 2422980916150 2665279007765 4264446412424 4845961832300 5330558015530 9691923664600 10661116031060 13326395038825 21322232062120 26652790077650 53305580155300 106611160310600