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2132202333020 = 2252931340734807
BaseRepresentation
bin11111000001110001001…
…010011010001101011100
321112211120211212012112112
4133001301022122031130
5234413222244124040
64311304211453152
7310021650536264
oct37016112321534
97484524765475
102132202333020
117522976a3351
122a529a2b71b8
131260b17a6426
14752b06427a4
153a6e436e365
hex1f07129a35c

2132202333020 has 96 divisors (see below), whose sum is σ = 4782986772480. Its totient is φ = 796650865920.

The previous prime is 2132202333017. The next prime is 2132202333061. The reversal of 2132202333020 is 203332022312.

It is a congruent number.

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, 61240457 + ... + 61275263.

It is an arithmetic number, because the mean of its divisors is an integer number (49822778880).

Almost surely, 22132202333020 is an apocalyptic number.

2132202333020 is a gapful number since it is divisible by the number (20) 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 2132202333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391493386240).

2132202333020 is an abundant number, since it is smaller than the sum of its proper divisors (2650784439460).

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

2132202333020 is a wasteful number, since it uses less digits than its factorization.

2132202333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38283 (or 38281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2132202333020 its reverse (203332022312), we get a palindrome (2335534355332).

The spelling of 2132202333020 in words is "two trillion, one hundred thirty-two billion, two hundred two million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 3407 3596 4495 6814 8990 13628 17035 17980 34070 34807 68140 69614 98803 105617 139228 174035 197606 211234 348070 395212 422468 494015 528085 696140 988030 1009403 1056170 1079017 1976060 2018806 2112340 2158034 3062893 4037612 4316068 5047015 5395085 6125786 10094030 10790170 12251572 15314465 20188060 21580340 30628930 31291493 61257860 62582986 118587449 125165972 156457465 237174898 312914930 474349796 592937245 625829860 1185874490 2371748980 3439036021 3676210919 6878072042 7352421838 13756144084 14704843676 17195180105 18381054595 34390360210 36762109190 68780720420 73524218380 106610116651 213220233302 426440466604 533050583255 1066101166510 2132202333020