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1234221300312 = 2337111351374513
BaseRepresentation
bin10001111101011101010…
…100100111101001011000
311100222202000010021202120
4101331131110213221120
5130210141123102222
62342554325501240
7155112103645620
oct21753524475130
94328660107676
101234221300312
11436480825570
1217b24a271820
138c5043a5a30
1443a45451880
152218920015c
hex11f5d527a58

1234221300312 has 128 divisors (see below), whose sum is σ = 4142840808960. Its totient is φ = 295917189120.

The previous prime is 1234221300289. The next prime is 1234221300359. The reversal of 1234221300312 is 2130031224321.

It is a super-3 number, since 3×12342213003123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 25663233 + ... + 25711280.

It is an arithmetic number, because the mean of its divisors is an integer number (32365943820).

Almost surely, 21234221300312 is an apocalyptic number.

1234221300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1234221300312 is an abundant number, since it is smaller than the sum of its proper divisors (2908619508648).

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

1234221300312 is a wasteful number, since it uses less digits than its factorization.

1234221300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51374553 (or 51374549 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1234221300312 its reverse (2130031224321), we get a palindrome (3364252524633).

The spelling of 1234221300312 in words is "one trillion, two hundred thirty-four billion, two hundred twenty-one million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 51374513 102749026 154123539 205498052 308247078 359621591 410996104 565119643 616494156 667868669 719243182 1078864773 1130239286 1232988312 1335737338 1438486364 1695358929 2003606007 2157729546 2260478572 2671474676 2876972728 3390717858 3955837501 4007212014 4315459092 4520957144 4675080683 5342949352 6781435716 7346555359 7911675002 8014424028 8630918184 9350161366 11867512503 13562871432 14025242049 14693110718 15823350004 16028848056 18700322732 22039666077 23735025006 28050484098 29386221436 31646700008 37400645464 44079332154 47470050012 51425887513 56100968196 58772442872 88158664308 94940100024 102851775026 112201936392 154277662539 176317328616 205703550052 308555325078 411407100104 617110650156 1234221300312