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1132260523100 = 2252713125149193
BaseRepresentation
bin10000011110011111111…
…111000111110001011100
311000020120011221010211122
4100132133333013301130
5122022332143214400
62224053040310112
7144542320435520
oct20363777076134
94006504833748
101132260523100
113a7209602533
12163533912338
1382a055a2ab5
143cb31c25d80
151e6bcc9e685
hex1079ffc7c5c

1132260523100 has 144 divisors (see below), whose sum is σ = 2840771678976. Its totient is φ = 383697600000.

The previous prime is 1132260523073. The next prime is 1132260523103. The reversal of 1132260523100 is 13250622311.

It is a happy number.

It is a super-2 number, since 2×11322605231002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1132260523100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132260523103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22992104 + ... + 23041296.

It is an arithmetic number, because the mean of its divisors is an integer number (19727581104).

Almost surely, 21132260523100 is an apocalyptic number.

1132260523100 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 1132260523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420385839488).

1132260523100 is an abundant number, since it is smaller than the sum of its proper divisors (1708511155876).

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

1132260523100 is a wasteful number, since it uses less digits than its factorization.

1132260523100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49596 (or 49589 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 1132260523100 in words is "one trillion, one hundred thirty-two billion, two hundred sixty million, five hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 131 140 175 251 262 350 502 524 655 700 917 1004 1255 1310 1757 1834 2510 2620 3275 3514 3668 4585 5020 6275 6550 7028 8785 9170 12550 13100 17570 18340 22925 25100 32881 35140 43925 45850 49193 65762 87850 91700 98386 131524 164405 175700 196772 230167 245965 328810 344351 460334 491930 657620 688702 822025 920668 983860 1150835 1229825 1377404 1644050 1721755 2301670 2459650 3288100 3443510 4603340 4919300 5754175 6444283 6887020 8608775 11508350 12347443 12888566 17217550 23016700 24694886 25777132 32221415 34435100 45109981 49389772 61737215 64442830 86432101 90219962 123474430 128885660 161107075 172864202 180439924 225549905 246948860 308686075 322214150 345728404 432160505 451099810 617372150 644428300 864321010 902199620 1127749525 1234744300 1617515033 1728642020 2160802525 2255499050 3235030066 4321605050 4510998100 6470060132 8087575165 8643210100 11322605231 16175150330 22645210462 32350300660 40437875825 45290420924 56613026155 80875751650 113226052310 161751503300 226452104620 283065130775 566130261550 1132260523100