Search a number
-
+
361141331100 = 223521129948797
BaseRepresentation
bin1010100000101011011…
…00110110010010011100
31021112011120010110102120
411100111230312102130
521404104140043400
6433523412022540
735043263444064
oct5202554662234
91245146113376
10361141331100
1112a182959300
1259ba9601a50
1328094b7b134
141369d4123a4
1595da20dca0
hex5415b3649c

361141331100 has 108 divisors (see below), whose sum is σ = 1148529036312. Its totient is φ = 87549404800.

The previous prime is 361141331077. The next prime is 361141331137. The reversal of 361141331100 is 1133141163.

It is a super-2 number, since 2×3611413311002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4938099 + ... + 5010698.

It is an arithmetic number, because the mean of its divisors is an integer number (10634528114).

Almost surely, 2361141331100 is an apocalyptic number.

361141331100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361141331100 is an abundant number, since it is smaller than the sum of its proper divisors (787387705212).

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

361141331100 is a wasteful number, since it uses less digits than its factorization.

361141331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948836 (or 9948818 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 361141331100 its reverse (1133141163), we get a palindrome (362274472263).

The spelling of 361141331100 in words is "three hundred sixty-one billion, one hundred forty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 9948797 19897594 29846391 39795188 49743985 59692782 99487970 109436767 119385564 149231955 198975940 218873534 248719925 298463910 328310301 437747068 497439850 547183835 596927820 656620602 746159775 994879700 1094367670 1203804437 1313241204 1492319550 1641551505 2188735340 2407608874 2735919175 2984639100 3283103010 3611413311 4815217748 5471838350 6019022185 6566206020 7222826622 8207757525 10943676700 12038044370 14445653244 16415515050 18057066555 24076088740 30095110925 32831030100 36114133110 60190221850 72228266220 90285332775 120380443700 180570665550 361141331100