Search a number
-
+
1032112210212 = 223416774325673
BaseRepresentation
bin11110000010011101010…
…11101000000100100100
310122200001200012201120000
433001032223220010210
5113402231211211322
62110051254341300
7134365463015106
oct17011653500444
93580050181500
101032112210212
113687974877a6
1214804435a830
1376435135365
1437d511d9576
151bcaaa1a3ac
hexf04eae8124

1032112210212 has 120 divisors (see below), whose sum is σ = 2718060782976. Its totient is φ = 341503731072.

The previous prime is 1032112210189. The next prime is 1032112210247. The reversal of 1032112210212 is 2120122112301.

1032112210212 is a `hidden beast` number, since 1 + 0 + 321 + 122 + 10 + 212 = 666.

It is a super-2 number, since 2×10321122102122 (a number of 25 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 40189408 + ... + 40215080.

Almost surely, 21032112210212 is an apocalyptic number.

1032112210212 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 1032112210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359030391488).

1032112210212 is an abundant number, since it is smaller than the sum of its proper divisors (1685948572764).

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

1032112210212 is a wasteful number, since it uses less digits than its factorization.

1032112210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26599 (or 26588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1032112210212 its reverse (2120122112301), we get a palindrome (3152234322513).

The spelling of 1032112210212 in words is "one trillion, thirty-two billion, one hundred twelve million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 324 334 501 668 743 1002 1486 1503 2004 2229 2972 3006 4458 4509 6012 6687 8916 9018 13374 13527 18036 20061 25673 26748 27054 40122 51346 54108 60183 77019 80244 102692 120366 124081 154038 231057 240732 248162 308076 372243 462114 496324 693171 744486 924228 1116729 1386342 1488972 2079513 2233458 2772684 3350187 4159026 4287391 4466916 6700374 8318052 8574782 10050561 12862173 13400748 17149564 19075039 20101122 25724346 38150078 38586519 40202244 51448692 57225117 76300156 77173038 114450234 115759557 154346076 171675351 228900468 231519114 343350702 347278671 463038228 515026053 686701404 694557342 1030052106 1389114684 1545078159 2060104212 3090156318 3185531513 6180312636 6371063026 9556594539 12742126052 19113189078 28669783617 38226378156 57339567234 86009350851 114679134468 172018701702 258028052553 344037403404 516056105106 1032112210212