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1130402012240 = 245311918323761
BaseRepresentation
bin10000011100110001001…
…101011101110001010000
311000001202122211000020002
4100130301031131301100
5122010030403342430
62223144410105132
7144445262365514
oct20346115356120
94001678730202
101130402012240
113a6445514846
121630b541b1a8
138279a537827
143c9d707c144
151e60ea39845
hex1073135dc50

1130402012240 has 80 divisors (see below), whose sum is σ = 2713220438016. Its totient is φ = 437533747200.

The previous prime is 1130402012219. The next prime is 1130402012291. The reversal of 1130402012240 is 422102040311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×11304020122403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47561960 + ... + 47585720.

Almost surely, 21130402012240 is an apocalyptic number.

1130402012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130402012240 is an abundant number, since it is smaller than the sum of its proper divisors (1582818425776).

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

1130402012240 is a wasteful number, since it uses less digits than its factorization.

1130402012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42988 (or 42982 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1130402012240 its reverse (422102040311), we get a palindrome (1552504052551).

The spelling of 1130402012240 in words is "one trillion, one hundred thirty billion, four hundred two million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 19183 23761 38366 47522 76732 95044 95915 118805 153464 190088 191830 237610 306928 380176 383660 475220 594673 736591 767320 950440 1189346 1473182 1534640 1900880 2378692 2946364 2973365 3682955 4757384 5892728 5946730 7365910 9514768 11785456 11893460 14731820 23786920 29463640 47573840 58927280 455807263 911614526 1823229052 2279036315 3646458104 4558072630 7292916208 9116145260 14130025153 18232290520 28260050306 36464581040 56520100612 70650125765 113040201224 141300251530 226080402448 282600503060 565201006120 1130402012240