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23020101102000 = 2435368314293931
BaseRepresentation
bin1010011101111110010001…
…11100101110100110110000
310000111200220102111120020010
411032333020330232212300
511004130131340231000
6120543142150014520
74564101364564632
oct516771074564660
9100450812446203
1023020101102000
117375851a37202
1226b9549347440
13caca2b429822
14598270a36a52
1529dc14166d50
hex14efc8f2e9b0

23020101102000 has 320 divisors, whose sum is σ = 74396401896960. Its totient is φ = 6123858048000.

The previous prime is 23020101101947. The next prime is 23020101102001. The reversal of 23020101102000 is 20110102032.

It is a super-2 number, since 2×230201011020002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (23020101102001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5856040035 + ... + 5856043965.

It is an arithmetic number, because the mean of its divisors is an integer number (232488755928).

Almost surely, 223020101102000 is an apocalyptic number.

23020101102000 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 23020101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37198200948480).

23020101102000 is an abundant number, since it is smaller than the sum of its proper divisors (51376300794960).

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

23020101102000 is a wasteful number, since it uses less digits than its factorization.

23020101102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 23020101102000 its reverse (20110102032), we get a palindrome (23040211204032).

The spelling of 23020101102000 in words is "twenty-three trillion, twenty billion, one hundred one million, one hundred two thousand".