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101212151040 = 283257111367131
BaseRepresentation
bin101111001000010110…
…1101101110100000000
3100200020122111222212200
41132100231231310000
53124240302313130
6114255103353200
710212063042360
oct1362055556400
9320218458780
10101212151040
1139a18691120
12177478b2800
13970c999890
144c820349a0
152975875760
hex1790b6dd00

101212151040 has 1728 divisors, whose sum is σ = 480836708352. Its totient is φ = 18977587200.

The previous prime is 101212151021. The next prime is 101212151059. The reversal of 101212151040 is 40151212101.

101212151040 is a `hidden beast` number, since 10 + 121 + 21 + 510 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101212151021) and next prime (101212151059).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 772611775 + ... + 772611905.

It is an arithmetic number, because the mean of its divisors is an integer number (278261984).

Almost surely, 2101212151040 is an apocalyptic number.

101212151040 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 101212151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240418354176).

101212151040 is an abundant number, since it is smaller than the sum of its proper divisors (379624557312).

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

101212151040 is a wasteful number, since it uses less digits than its factorization.

101212151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 101212151040 its reverse (40151212101), we get a palindrome (141363363141).

It can be divided in two parts, 101212 and 151040, that added together give a palindrome (252252).

The spelling of 101212151040 in words is "one hundred one billion, two hundred twelve million, one hundred fifty-one thousand, forty".