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101451452022 = 23410114294339
BaseRepresentation
bin101111001111011111…
…0100100111001110110
3100200212022210202010000
41132132332210321312
53130233032431042
6114334532412130
710221030054024
oct1363676447166
9320768722100
10101451452022
113a030777528
12177b3a77046
13974a4344ab
144ca5b27714
15298b89474c
hex179efa4e76

101451452022 has 80 divisors (see below), whose sum is σ = 229790761200. Its totient is φ = 33451185600.

The previous prime is 101451452021. The next prime is 101451452029. The reversal of 101451452022 is 220254154101.

It is a happy number.

101451452022 is a `hidden beast` number, since 1 + 0 + 1 + 451 + 4 + 5 + 202 + 2 = 666.

It is a super-3 number, since 3×1014514520223 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101451452021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23379129 + ... + 23383467.

It is an arithmetic number, because the mean of its divisors is an integer number (2872384515).

Almost surely, 2101451452022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101451452022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114895380600).

101451452022 is an abundant number, since it is smaller than the sum of its proper divisors (128339309178).

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

101451452022 is a wasteful number, since it uses less digits than its factorization.

101451452022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 101451452022 in words is "one hundred one billion, four hundred fifty-one million, four hundred fifty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1429 1818 2727 2858 4287 4339 5454 8181 8574 8678 12861 13017 16362 25722 26034 38583 39051 77166 78102 115749 117153 144329 231498 234306 288658 351459 432987 438239 702918 865974 876478 1298961 1314717 2597922 2629434 3896883 3944151 6200431 7793766 7888302 11690649 11832453 12400862 18601293 23381298 23664906 35497359 37202586 55803879 70994718 111607758 167411637 334823274 502234911 626243531 1004469822 1252487062 1878730593 3757461186 5636191779 11272383558 16908575337 33817150674 50725726011 101451452022