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133011031200 = 25352269206027
BaseRepresentation
bin111101111100000010…
…0110100010010100000
3110201022202201110220220
41323320010310102200
54134401310444300
6141034320003040
712416065052655
oct1737004642240
9421282643826
10133011031200
1151456294473
1221941160480
13c70994c0b8
14661b343c2c
1536d7385da0
hex1ef81344a0

133011031200 has 144 divisors (see below), whose sum is σ = 434562498720. Its totient is φ = 35337579520.

The previous prime is 133011031169. The next prime is 133011031211. The reversal of 133011031200 is 2130110331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133011031200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542587 + ... + 748613.

It is an arithmetic number, because the mean of its divisors is an integer number (3017795130).

Almost surely, 2133011031200 is an apocalyptic number.

133011031200 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 133011031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217281249360).

133011031200 is an abundant number, since it is smaller than the sum of its proper divisors (301551467520).

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

133011031200 is a wasteful number, since it uses less digits than its factorization.

133011031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206319 (or 206306 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 133011031200 its reverse (2130110331), we get a palindrome (135141141531).

The spelling of 133011031200 in words is "one hundred thirty-three billion, eleven million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 269 300 400 480 538 600 800 807 1076 1200 1345 1614 2152 2400 2690 3228 4035 4304 5380 6456 6725 8070 8608 10760 12912 13450 16140 20175 21520 25824 26900 32280 40350 43040 53800 64560 80700 107600 129120 161400 206027 215200 322800 412054 618081 645600 824108 1030135 1236162 1648216 2060270 2472324 3090405 3296432 4120540 4944648 5150675 6180810 6592864 8241080 9889296 10301350 12361620 15452025 16482160 19778592 20602700 24723240 30904050 32964320 41205400 49446480 55421263 61808100 82410800 98892960 110842526 123616200 164821600 166263789 221685052 247232400 277106315 332527578 443370104 494464800 554212630 665055156 831318945 886740208 1108425260 1330110312 1385531575 1662637890 1773480416 2216850520 2660220624 2771063150 3325275780 4156594725 4433701040 5320441248 5542126300 6650551560 8313189450 8867402080 11084252600 13301103120 16626378900 22168505200 26602206240 33252757800 44337010400 66505515600 133011031200