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1021431210112 = 2771565919861
BaseRepresentation
bin11101101110100100000…
…10110110000010000000
310121122111022000200220201
432313102002312002000
5113213342342210422
62101123343414544
7133540006014115
oct16672202660200
93548438020821
101021431210112
11364206320295
12145b632b4454
137542232b961
143761a84690c
151b882e8e727
hexedd20b6080

1021431210112 has 64 divisors (see below), whose sum is σ = 2064011371200. Its totient is φ = 503408102400.

The previous prime is 1021431210103. The next prime is 1021431210113. The reversal of 1021431210112 is 2110121341201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1021431210112.

It is not an unprimeable number, because it can be changed into a prime (1021431210113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51419062 + ... + 51438922.

It is an arithmetic number, because the mean of its divisors is an integer number (32250177675).

Almost surely, 21021431210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021431210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032005685600).

1021431210112 is an abundant number, since it is smaller than the sum of its proper divisors (1042580161088).

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

1021431210112 is an equidigital number, since it uses as much as digits as its factorization.

1021431210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25605 (or 25593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1021431210112 its reverse (2110121341201), we get a palindrome (3131552551313).

The spelling of 1021431210112 in words is "one trillion, twenty-one billion, four hundred thirty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 5659 9088 11318 19861 22636 39722 45272 79444 90544 158888 181088 317776 362176 401789 635552 724352 803578 1271104 1410131 1607156 2542208 2820262 3214312 5640524 6428624 11281048 12857248 22562096 25714496 45124192 51428992 90248384 112393399 180496768 224786798 449573596 899147192 1798294384 3596588768 7193177536 7979931329 14386355072 15959862658 31919725316 63839450632 127678901264 255357802528 510715605056 1021431210112