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1130416223300 = 2252713196537977
BaseRepresentation
bin10000011100110010000…
…011101011010001000100
311000001210122120000010122
4100130302003223101010
5122010043023121200
62223150034441112
7144445524234260
oct20346203532104
94001718500118
101130416223300
113a6452540821
121630ba133198
13827a0472040
143c9d8cdb0a0
151e610de5385
hex107320eb444

1130416223300 has 144 divisors (see below), whose sum is σ = 3177980346240. Its totient is φ = 338928675840.

The previous prime is 1130416223257. The next prime is 1130416223341. The reversal of 1130416223300 is 33226140311.

It is a super-3 number, since 3×11304162233003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1130416223300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3096089 + ... + 3441888.

It is an arithmetic number, because the mean of its divisors is an integer number (22069307960).

Almost surely, 21130416223300 is an apocalyptic number.

1130416223300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130416223300 is an abundant number, since it is smaller than the sum of its proper divisors (2047564122940).

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

1130416223300 is a wasteful number, since it uses less digits than its factorization.

1130416223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6538030 (or 6538023 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 1130416223300 in words is "one trillion, one hundred thirty billion, four hundred sixteen million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 35 38 50 52 65 70 76 91 95 100 130 133 140 175 182 190 247 260 266 325 350 364 380 455 475 494 532 650 665 700 910 950 988 1235 1300 1330 1729 1820 1900 2275 2470 2660 3325 3458 4550 4940 6175 6650 6916 8645 9100 12350 13300 17290 24700 34580 43225 86450 172900 6537977 13075954 26151908 32689885 45765839 65379770 84993701 91531678 124221563 130759540 163449425 169987402 183063356 228829195 248443126 326898850 339974804 424968505 457658390 496886252 594955907 621107815 653797700 849937010 869550941 915316780 1144145975 1189911814 1242215630 1614880319 1699874020 1739101882 2124842525 2288291950 2379823628 2484431260 2974779535 3105539075 3229760638 3478203764 4249685050 4347754705 4576583900 5949559070 6211078150 6459521276 8074401595 8499370100 8695509410 11304162233 11899118140 12422156300 14873897675 16148803190 17391018820 21738773525 22608324466 29747795350 32297606380 40372007975 43477547050 45216648932 56520811165 59495590700 80744015950 86955094100 113041622330 161488031900 226083244660 282604055825 565208111650 1130416223300