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23332002131020 = 225111913311677521
BaseRepresentation
bin1010100111000011001111…
…01100101110110001001100
310001121111222100022111122211
411103201213230232301030
511024232420021143040
6121342323535320204
74625452522566022
oct523414754566114
9101544870274584
1023332002131020
117486056a36780
122749a94380064
131003276a4992b
145a93bc592712
152a6dbb5468ea
hex153867b2ec4c

23332002131020 has 96 divisors (see below), whose sum is σ = 53893709033472. Its totient is φ = 8414440320000.

The previous prime is 23332002130991. The next prime is 23332002131027. The reversal of 23332002131020 is 2013120023332.

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 = 23332002130982 and 23332002131000.

It is not an unprimeable number, because it can be changed into a prime (23332002131027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13069860 + ... + 14747380.

It is an arithmetic number, because the mean of its divisors is an integer number (561392802432).

Almost surely, 223332002131020 is an apocalyptic number.

23332002131020 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 23332002131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26946854516736).

23332002131020 is an abundant number, since it is smaller than the sum of its proper divisors (30561706902452).

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

23332002131020 is a wasteful number, since it uses less digits than its factorization.

23332002131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678063 (or 1678061 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23332002131020 its reverse (2013120023332), we get a palindrome (25345122154352).

The spelling of 23332002131020 in words is "twenty-three trillion, three hundred thirty-two billion, two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 331 382 662 764 955 1324 1655 1910 2101 3310 3641 3820 4202 6620 7282 8404 10505 14564 18205 21010 36410 42020 63221 72820 126442 252884 316105 632210 695431 1264420 1390862 1677521 2781724 3355042 3477155 6710084 6954310 8387605 13908620 16775210 18452731 33550420 36905462 73810924 92263655 184527310 320406511 369054620 555259451 640813022 1110518902 1281626044 1602032555 2221037804 2776297255 3204065110 3524471621 5552594510 6107853961 6408130220 7048943242 11105189020 12215707922 14097886484 17622358105 24431415844 30539269805 35244716210 61078539610 70489432420 106054555141 122157079220 212109110282 424218220564 530272775705 1060545551410 1166600106551 2121091102820 2333200213102 4666400426204 5833000532755 11666001065510 23332002131020