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133011123023020 = 2251123320831245719
BaseRepresentation
bin11110001111100100010000…
…101111010010110010101100
3122102221201221212012200022111
4132033210100233102302230
5114413223234443214040
61150520244422253404
740005510424123234
oct3617442057226254
9572851855180274
10133011123023020
1139421778398810
1212b02543b87264
13592ab836545c8
1424bbab642acc4
151059dd057cdea
hex78f910bd2cac

133011123023020 has 96 divisors (see below), whose sum is σ = 306171347489280. Its totient is φ = 48136935298560.

The previous prime is 133011123022931. The next prime is 133011123023033. The reversal of 133011123023020 is 20320321110331.

It is a super-2 number, since 2×1330111230230202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133011123022982 and 133011123023000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106151721 + ... + 107397439.

It is an arithmetic number, because the mean of its divisors is an integer number (3189284869680).

Almost surely, 2133011123023020 is an apocalyptic number.

133011123023020 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 133011123023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153085673744640).

133011123023020 is an abundant number, since it is smaller than the sum of its proper divisors (173160224466260).

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

133011123023020 is a wasteful number, since it uses less digits than its factorization.

133011123023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248055 (or 1248053 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 133011123023020 its reverse (20320321110331), we get a palindrome (153331444133351).

The spelling of 133011123023020 in words is "one hundred thirty-three trillion, eleven billion, one hundred twenty-three million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 932 1165 2083 2330 2563 4166 4660 5126 8332 10252 10415 12815 20830 22913 25630 41660 45826 51260 91652 114565 229130 458260 485339 970678 1245719 1941356 2426695 2491438 4853390 4982876 5338729 6228595 9706780 10677458 12457190 13702909 21354916 24914380 26693645 27405818 53387290 54811636 68514545 106774580 137029090 274058180 290252527 580505054 1161010108 1451262635 2594832677 2902525270 3192777797 5189665354 5805050540 6385555594 10379330708 12771111188 12974163385 15963888985 25948326770 28543159447 31927777970 51896653540 57086318894 63855555940 114172637788 142715797235 285431594470 570863188940 604596013741 1209192027482 2418384054964 3022980068705 6045960137410 6650556151151 12091920274820 13301112302302 26602224604604 33252780755755 66505561511510 133011123023020