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140213100100332 = 2237107233241277813
BaseRepresentation
bin11111111000010111101000…
…000001100011101011101100
3200101110020112000200021101210
4133320113220001203223230
5121334222412111202312
61214113001533434420
741351030221201320
oct3770275001435354
9611406460607353
10140213100100332
1140749050727746
12138862a363ba10
136031066a7b91c
14268a4c9153980
1511323e7a86e3c
hex7f85e8063aec

140213100100332 has 192 divisors, whose sum is σ = 380589782436864. Its totient is φ = 39352047575040.

The previous prime is 140213100100313. The next prime is 140213100100343. The reversal of 140213100100332 is 233001001312041.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 140213100100299 and 140213100100308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504564258 + ... + 504842070.

It is an arithmetic number, because the mean of its divisors is an integer number (1982238450192).

Almost surely, 2140213100100332 is an apocalyptic number.

140213100100332 is a gapful number since it is divisible by the number (12) 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 140213100100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190294891218432).

140213100100332 is an abundant number, since it is smaller than the sum of its proper divisors (240376682336532).

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

140213100100332 is a wasteful number, since it uses less digits than its factorization.

140213100100332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278408 (or 278406 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 140213100100332 its reverse (233001001312041), we get a palindrome (373214101412373).

The spelling of 140213100100332 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred million, one hundred thousand, three hundred thirty-two".