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1012403211431 = 19677113781761
BaseRepresentation
bin11101011101101111110…
…11110000110010100111
310120210012010020211221012
432232313323300302213
5113041400210231211
62053031442212435
7133100203211213
oct16566773606247
93523163224835
101012403211431
113603a3246257
1214426395411b
1374613b275c1
1437001823943
151b5055d1d8b
hexebb7ef0ca7

1012403211431 has 32 divisors (see below), whose sum is σ = 1104846635520. Its totient is φ = 924685977600.

The previous prime is 1012403211427. The next prime is 1012403211451. The reversal of 1012403211431 is 1341123042101.

It is a cyclic number.

It is not a de Polignac number, because 1012403211431 - 22 = 1012403211427 is a prime.

It is a super-2 number, since 2×10124032114312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012403211397 and 1012403211406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012403211401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12341591 + ... + 12423351.

It is an arithmetic number, because the mean of its divisors is an integer number (34526457360).

Almost surely, 21012403211431 is an apocalyptic number.

1012403211431 is a deficient number, since it is larger than the sum of its proper divisors (92443424089).

1012403211431 is a wasteful number, since it uses less digits than its factorization.

1012403211431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82055.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1012403211431 its reverse (1341123042101), we get a palindrome (2353526253532).

The spelling of 1012403211431 in words is "one trillion, twelve billion, four hundred three million, two hundred eleven thousand, four hundred thirty-one".

Divisors: 1 19 67 71 137 1273 1349 2603 4757 9179 9727 81761 90383 174401 184813 651709 1553459 5477987 5805031 11201257 12382471 104081753 110295589 212823883 388937077 750484219 795289247 7389804463 14259200161 15110495693 53284379549 1012403211431