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11310013110 = 23511375571663
BaseRepresentation
bin10101000100010000…
…10001101010110110
31002012012210012021110
422202020101222312
5141130330404420
65110140455450
7550162345104
oct124210215266
932165705243
1011310013110
114884231280
12223784a586
1310b321cc66
1479412cc74
15462dc9ee0
hex2a2211ab6

11310013110 has 128 divisors (see below), whose sum is σ = 30484905984. Its totient is φ = 2661327360.

The previous prime is 11310013097. The next prime is 11310013129. The reversal of 11310013110 is 1131001311.

It is a congruent number.

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, 6800139 + ... + 6801801.

It is an arithmetic number, because the mean of its divisors is an integer number (238163328).

Almost surely, 211310013110 is an apocalyptic number.

11310013110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11310013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242452992).

11310013110 is an abundant number, since it is smaller than the sum of its proper divisors (19174892874).

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

11310013110 is a wasteful number, since it uses less digits than its factorization.

11310013110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11310013110 its reverse (1131001311), we get a palindrome (12441014421).

The spelling of 11310013110 in words is "eleven billion, three hundred ten million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 557 814 1110 1114 1221 1663 1671 2035 2442 2785 3326 3342 4070 4989 5570 6105 6127 8315 8355 9978 12210 12254 16630 16710 18293 18381 20609 24945 30635 36586 36762 41218 49890 54879 61270 61531 61827 91465 91905 103045 109758 123062 123654 182930 183810 184593 206090 226699 274395 307655 309135 369186 453398 548790 615310 618270 676841 680097 922965 926291 1133495 1353682 1360194 1845930 1852582 2030523 2266990 2778873 3384205 3400485 4061046 4631455 5557746 6768410 6800970 9262910 10152615 10189201 13894365 20305230 20378402 27788730 30567603 34272767 50946005 61135206 68545534 101892010 102818301 152838015 171363835 205636602 305676030 342727670 377000437 514091505 754000874 1028183010 1131001311 1885002185 2262002622 3770004370 5655006555 11310013110