Search a number
-
+
10200122331444 = 22332321481191161
BaseRepresentation
bin1001010001101110011010…
…1010110001000100110100
31100010010022001201000112000
42110123212222301010310
52314104322304101234
633405512125055300
72101635353162613
oct224334652610464
940103261630460
1010200122331444
113282936159691
121188a283b7530
1358cb37909866
1427398d57587a
1512a4ddecd899
hex946e6ab1134

10200122331444 has 96 divisors (see below), whose sum is σ = 27595962804480. Its totient is φ = 3252044505600.

The previous prime is 10200122331433. The next prime is 10200122331457. The reversal of 10200122331444 is 44413322100201.

10200122331444 is a `hidden beast` number, since 1 + 0 + 200 + 12 + 2 + 3 + 3 + 1 + 444 = 666.

It is a super-2 number, since 2×102001223314442 (a number of 27 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53263224 + ... + 53454384.

It is an arithmetic number, because the mean of its divisors is an integer number (287457945880).

Almost surely, 210200122331444 is an apocalyptic number.

It is an amenable number.

10200122331444 is an abundant number, since it is smaller than the sum of its proper divisors (17395840473036).

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

10200122331444 is a wasteful number, since it uses less digits than its factorization.

10200122331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212678 (or 212670 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10200122331444 its reverse (44413322100201), we get a palindrome (54613444431645).

The spelling of 10200122331444 in words is "ten trillion, two hundred billion, one hundred twenty-two million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 21481 42962 64443 85924 128886 191161 193329 257772 382322 386658 494063 573483 579987 764644 773316 988126 1146966 1159974 1482189 1720449 1976252 2293932 2319948 2964378 3440898 4396703 4446567 5161347 5928756 6881796 8793406 8893134 10322694 13190109 13339701 17586812 17786268 20645388 26380218 26679402 39570327 52760436 53358804 79140654 118710981 158281308 237421962 474843924 4106329441 8212658882 12318988323 16425317764 24637976646 36956964969 49275953292 73913929938 94445577143 110870894907 147827859876 188891154286 221741789814 283336731429 377782308572 443483579628 566673462858 850010194287 1133346925716 1700020388574 2550030582861 3400040777148 5100061165722 10200122331444