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10744313220 = 2232541235509
BaseRepresentation
bin10100000000110100…
…10011010110000100
31000201210022122220200
422000122103112010
5134001021010340
64534051530500
7530153104224
oct120032232604
930653278820
1010744313220
114613980603
1220ba2b9a30
131022c736b4
1473cd54084
1542d3d5330
hex280693584

10744313220 has 108 divisors (see below), whose sum is σ = 33406316580. Its totient is φ = 2795189760.

The previous prime is 10744313147. The next prime is 10744313233. The reversal of 10744313220 is 2231344701.

It is a happy number.

10744313220 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 431 + 3 + 220 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6230892096 + 4513421124 = 78936^2 + 67182^2 .

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, 284826 + ... + 320334.

Almost surely, 210744313220 is an apocalyptic number.

10744313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10744313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703158290).

10744313220 is an abundant number, since it is smaller than the sum of its proper divisors (22662003360).

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

10744313220 is a wasteful number, since it uses less digits than its factorization.

10744313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35606 (or 35560 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 10744313220 its reverse (2231344701), we get a palindrome (12975657921).

The spelling of 10744313220 in words is "ten billion, seven hundred forty-four million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1681 1845 2460 3362 3690 5043 6724 7380 8405 10086 15129 16810 20172 25215 30258 33620 35509 50430 60516 71018 75645 100860 106527 142036 151290 177545 213054 302580 319581 355090 426108 532635 639162 710180 1065270 1278324 1455869 1597905 2130540 2911738 3195810 4367607 5823476 6391620 7279345 8735214 13102821 14558690 17470428 21838035 26205642 29117380 43676070 52411284 59690629 65514105 87352140 119381258 131028210 179071887 238762516 262056420 298453145 358143774 537215661 596906290 716287548 895359435 1074431322 1193812580 1790718870 2148862644 2686078305 3581437740 5372156610 10744313220