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11411419131 = 337103619947
BaseRepresentation
bin10101010000010110…
…00110111111111011
31002110021121011012000
422220023012333323
5141332310403011
65124202152043
7552533314350
oct125013067773
932407534160
1011411419131
1149264a3102
1222657b2623
1310cb236718
147a37a8627
1546bc5b356
hex2a82c6ffb

11411419131 has 64 divisors (see below), whose sum is σ = 19560652800. Its totient is φ = 6440262048.

The previous prime is 11411419127. The next prime is 11411419147. The reversal of 11411419131 is 13191411411.

It is a happy number.

11411419131 is a `hidden beast` number, since 114 + 1 + 1 + 419 + 131 = 666.

It is not a de Polignac number, because 11411419131 - 22 = 11411419127 is a prime.

It is a super-2 number, since 2×114114191312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11411419095 and 11411419104.

It is not an unprimeable number, because it can be changed into a prime (11411419181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12049600 + ... + 12050546.

It is an arithmetic number, because the mean of its divisors is an integer number (305635200).

Almost surely, 211411419131 is an apocalyptic number.

11411419131 is a deficient number, since it is larger than the sum of its proper divisors (8149233669).

11411419131 is a wasteful number, since it uses less digits than its factorization.

11411419131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its digits is 432, while the sum is 27.

The spelling of 11411419131 in words is "eleven billion, four hundred eleven million, four hundred nineteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 103 189 309 619 721 927 947 1857 2163 2781 2841 4333 5571 6489 6629 8523 12999 16713 19467 19887 25569 38997 59661 63757 97541 116991 178983 191271 292623 446299 573813 586193 682787 877869 1338897 1721439 1758579 2048361 2633607 4016691 4103351 5275737 6145083 12050073 12310053 15827211 18435249 36930159 60377879 110790477 181133637 422645153 543400911 1267935459 1630202733 3803806377 11411419131