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105936630330 = 23517325963737
BaseRepresentation
bin110001010101001010…
…0001011001000111010
3101010102220110102002010
41202222110023020322
53213424234132310
6120355553350350
710440131333436
oct1425224131072
9333386412063
10105936630330
1140a22514363
1218645b683b6
139cb371b85b
1451ad6959c6
152b50506320
hex18aa50b23a

105936630330 has 64 divisors (see below), whose sum is σ = 269290500480. Its totient is φ = 26579441664.

The previous prime is 105936630287. The next prime is 105936630343. The reversal of 105936630330 is 33036639501.

It is a super-2 number, since 2×1059366303302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630222 + ... + 1693958.

It is an arithmetic number, because the mean of its divisors is an integer number (4207664070).

Almost surely, 2105936630330 is an apocalyptic number.

105936630330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105936630330 is an abundant number, since it is smaller than the sum of its proper divisors (163353870150).

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

105936630330 is a wasteful number, since it uses less digits than its factorization.

105936630330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67023.

The product of its (nonzero) digits is 131220, while the sum is 39.

The spelling of 105936630330 in words is "one hundred five billion, nine hundred thirty-six million, six hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 3259 6518 9777 16295 19554 32590 48885 55403 63737 97770 110806 127474 166209 191211 277015 318685 332418 382422 554030 637370 831045 956055 1083529 1662090 1912110 2167058 3250587 5417645 6501174 10835290 16252935 32505870 207718883 415437766 623156649 1038594415 1246313298 2077188830 3115783245 3531221011 6231566490 7062442022 10593663033 17656105055 21187326066 35312210110 52968315165 105936630330