Search a number
-
+
33212022011120 = 24519211103554571
BaseRepresentation
bin1111000110100110001101…
…10001100011010011110000
311100121001000220210011100202
413203103012301203103300
513323121210113323440
6154345220422134332
76665326603120361
oct743230661432360
9140531026704322
1033212022011120
11a645159653907
123884866b813a8
13156bb59b5b764
1482b682c71b68
153c8dc310e615
hex1e34c6c634f0

33212022011120 has 80 divisors (see below), whose sum is σ = 81667277662080. Its totient is φ = 12525960787200.

The previous prime is 33212022011117. The next prime is 33212022011153. The reversal of 33212022011120 is 2111022021233.

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

It is a super-2 number, since 2×332120220111202 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33212022011092 and 33212022011101.

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, 51456566 + ... + 52098005.

It is an arithmetic number, because the mean of its divisors is an integer number (1020840970776).

Almost surely, 233212022011120 is an apocalyptic number.

It is an amenable number.

33212022011120 is an abundant number, since it is smaller than the sum of its proper divisors (48455255650960).

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

33212022011120 is a wasteful number, since it uses less digits than its factorization.

33212022011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103554814 (or 103554808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 33212022011120 its reverse (2111022021233), we get a palindrome (35323044032353).

The spelling of 33212022011120 in words is "thirty-three trillion, two hundred twelve billion, twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 211 304 380 422 760 844 1055 1520 1688 2110 3376 4009 4220 8018 8440 16036 16880 20045 32072 40090 64144 80180 160360 320720 103554571 207109142 414218284 517772855 828436568 1035545710 1656873136 1967536849 2071091420 3935073698 4142182840 7870147396 8284365680 9837684245 15740294792 19675368490 21850014481 31480589584 39350736980 43700028962 78701473960 87400057924 109250072405 157402947920 174800115848 218500144810 349600231696 415150275139 437000289620 830300550278 874000579240 1660601100556 1748001158480 2075751375695 3321202201112 4151502751390 6642404402224 8303005502780 16606011005560 33212022011120