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1102042300401 = 327432115033833
BaseRepresentation
bin10000000010010110110…
…101101111111111110001
310220100120020000101012100
4100002112311233333301
5121023440312103101
62202134331051013
7142422430665060
oct20022665577761
93810506011170
101102042300401
1139541216a569
121596bb8a0a69
137cbcac43253
143b4a68141d7
151d9eee1be86
hex10096d6fff1

1102042300401 has 96 divisors (see below), whose sum is σ = 1874582341632. Its totient is φ = 610801793280.

The previous prime is 1102042300351. The next prime is 1102042300439. The reversal of 1102042300401 is 1040032402011.

1102042300401 is a `hidden beast` number, since 1 + 10 + 20 + 4 + 230 + 0 + 401 = 666.

It is not a de Polignac number, because 1102042300401 - 213 = 1102042292209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102042300451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287512381 + ... + 287516213.

It is an arithmetic number, because the mean of its divisors is an integer number (19526899392).

Almost surely, 21102042300401 is an apocalyptic number.

It is an amenable number.

1102042300401 is a deficient number, since it is larger than the sum of its proper divisors (772540041231).

1102042300401 is a wasteful number, since it uses less digits than its factorization.

1102042300401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1102042300401 its reverse (1040032402011), we get a palindrome (2142074702412).

The spelling of 1102042300401 in words is "one trillion, one hundred two billion, forty-two million, three hundred thousand, four hundred one".

Divisors: 1 3 7 9 21 43 63 129 211 301 387 503 633 903 1477 1509 1899 2709 3521 3833 4431 4527 9073 10563 11499 13293 21629 26831 27219 31689 34497 63511 64887 80493 81657 106133 151403 164819 190533 194661 241479 318399 454209 494457 571599 742931 808763 955197 1153733 1362627 1483371 1927999 2228793 2426289 3461199 4563719 5661341 5783997 6686379 7278867 10383597 13495993 13691157 16984023 17351991 31946033 34776809 40487979 41073471 50952069 82903957 95838099 104330427 121463937 243437663 248711871 287514297 312991281 406807789 580327699 730312989 746135613 1220423367 1740983097 2190938967 2847654523 3661270101 5222949291 8542963569 17492734927 25628890707 52478204781 122449144489 157434614343 367347433467 1102042300401