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101224201214000 = 24533710187715443
BaseRepresentation
bin10111000001000000011000…
…100011100101100000110000
3111021101221100121212200200102
4113001000120203211200300
5101231424131002322000
6555141431151211532
730215131032600434
oct2701003043454060
9437357317780612
10101224201214000
112a286a40748577
12b429b18216ba8
13446352a61aa07
141add3c55929c4
15ba8118e953d5
hex5c10188e5830

101224201214000 has 320 divisors, whose sum is σ = 254170047111552. Its totient is φ = 38958312960000.

The previous prime is 101224201213969. The next prime is 101224201214021. The reversal of 101224201214000 is 412102422101.

It is a super-2 number, since 2×1012242012140002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6554690279 + ... + 6554705721.

Almost surely, 2101224201214000 is an apocalyptic number.

101224201214000 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 101224201214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127085023555776).

101224201214000 is an abundant number, since it is smaller than the sum of its proper divisors (152945845897552).

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

101224201214000 is a wasteful number, since it uses less digits than its factorization.

101224201214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16481 (or 16465 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101224201214000 its reverse (412102422101), we get a palindrome (101636303636101).

The spelling of 101224201214000 in words is "one hundred one trillion, two hundred twenty-four billion, two hundred one million, two hundred fourteen thousand".