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133222101000 = 23353367121001
BaseRepresentation
bin111110000010010100…
…1111111000000001000
3110201212110212221020220
41330010221333000020
54140314324213000
6141111255550040
712424240113552
oct1740451770010
9421773787226
10133222101000
115155444831a
122199b98b320
13c7415b0b81
14663b3a84d2
1536eab7a1a0
hex1f04a7f008

133222101000 has 128 divisors (see below), whose sum is σ = 416788968960. Its totient is φ = 35428800000.

The previous prime is 133222100987. The next prime is 133222101053. The reversal of 133222101000 is 101222331.

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

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, 1040500 + ... + 1161500.

It is an arithmetic number, because the mean of its divisors is an integer number (3256163820).

Almost surely, 2133222101000 is an apocalyptic number.

133222101000 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 133222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208394484480).

133222101000 is an abundant number, since it is smaller than the sum of its proper divisors (283566867960).

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

133222101000 is a wasteful number, since it uses less digits than its factorization.

133222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121392 (or 121378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133222101000 its reverse (101222331), we get a palindrome (133323323331).

The spelling of 133222101000 in words is "one hundred thirty-three billion, two hundred twenty-two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 367 375 500 600 734 750 1000 1101 1468 1500 1835 2202 2936 3000 3670 4404 5505 7340 8808 9175 11010 14680 18350 22020 27525 36700 44040 45875 55050 73400 91750 110100 121001 137625 183500 220200 242002 275250 363003 367000 484004 550500 605005 726006 968008 1101000 1210010 1452012 1815015 2420020 2904024 3025025 3630030 4840040 6050050 7260060 9075075 12100100 14520120 15125125 18150150 24200200 30250250 36300300 44407367 45375375 60500500 72600600 88814734 90750750 121001000 133222101 177629468 181501500 222036835 266444202 355258936 363003000 444073670 532888404 666110505 888147340 1065776808 1110184175 1332221010 1776294680 2220368350 2664442020 3330552525 4440736700 5328884040 5550920875 6661105050 8881473400 11101841750 13322210100 16652762625 22203683500 26644420200 33305525250 44407367000 66611050500 133222101000