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1130233310310 = 23513151148112959
BaseRepresentation
bin10000011100100111001…
…001111010110001100110
311000001022220101001200110
4100130213021322301212
5122004204211412220
62223115542153450
7144441143424246
oct20344711726146
94001286331613
101130233310310
113a6369269565
12163068a22886
13827715bb2c0
143c9bc8c5b26
151e5eed13be0
hex1072727ac66

1130233310310 has 128 divisors (see below), whose sum is σ = 2942776811520. Its totient is φ = 276160896000.

The previous prime is 1130233310299. The next prime is 1130233310321. The reversal of 1130233310310 is 130133320311.

It is an interprime number because it is at equal distance from previous prime (1130233310299) and next prime (1130233310321).

It is a super-3 number, since 3×11302333103103 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 87209611 + ... + 87222569.

It is an arithmetic number, because the mean of its divisors is an integer number (22990443840).

Almost surely, 21130233310310 is an apocalyptic number.

1130233310310 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 1130233310310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471388405760).

1130233310310 is an abundant number, since it is smaller than the sum of its proper divisors (1812543501210).

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

1130233310310 is a wasteful number, since it uses less digits than its factorization.

1130233310310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14614.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1130233310310 its reverse (130133320311), we get a palindrome (1260366630621).

The spelling of 1130233310310 in words is "one trillion, one hundred thirty billion, two hundred thirty-three million, three hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 151 195 302 390 453 755 906 1481 1510 1963 2265 2962 3926 4443 4530 5889 7405 8886 9815 11778 12959 14810 19253 19630 22215 25918 29445 38506 38877 44430 57759 58890 64795 77754 96265 115518 129590 168467 192530 194385 223631 288795 336934 388770 447262 505401 577590 670893 842335 1010802 1118155 1341786 1684670 1956809 2236310 2527005 2907203 3354465 3913618 5054010 5814406 5870427 6708930 8721609 9784045 11740854 14536015 17443218 19192279 19568090 25438517 29072030 29352135 38384558 43608045 50877034 57576837 58704270 76315551 87216090 95961395 115153674 127192585 152631102 191922790 249499627 254385170 287884185 381577755 498999254 575768370 748498881 763155510 1247498135 1496997762 2494996270 2898034129 3742494405 5796068258 7484988810 8694102387 14490170645 17388204774 28980341290 37674443677 43470511935 75348887354 86941023870 113023331031 188372218385 226046662062 376744436770 565116655155 1130233310310