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100011001221 = 3237477190001
BaseRepresentation
bin101110100100100011…
…1101100010110000101
3100120010221100021002100
41131021013230112011
53114310304014341
6113535554502313
710140236325015
oct1351107542605
9316127307070
10100011001221
113946166a51a
1217471594999
13957ab91c41
144baa6c5c45
1529051ae3b6
hex17491ec585

100011001221 has 48 divisors (see below), whose sum is σ = 153657174528. Its totient is φ = 62596800000.

The previous prime is 100011001217. The next prime is 100011001243. The reversal of 100011001221 is 122100110001.

It is a happy number.

It is not a de Polignac number, because 100011001221 - 22 = 100011001217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011001721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066221 + ... + 1156221.

It is an arithmetic number, because the mean of its divisors is an integer number (3201191136).

Almost surely, 2100011001221 is an apocalyptic number.

It is an amenable number.

100011001221 is a deficient number, since it is larger than the sum of its proper divisors (53646173307).

100011001221 is a wasteful number, since it uses less digits than its factorization.

100011001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90162 (or 90159 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011001221 its reverse (122100110001), we get a palindrome (222111111222).

The spelling of 100011001221 in words is "one hundred billion, eleven million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 37 47 71 111 141 213 333 423 639 1739 2627 3337 5217 7881 10011 15651 23643 30033 90001 123469 270003 370407 810009 1111221 3330037 4230047 6390071 9990111 12690141 19170213 29970333 38070423 57510639 156511739 236432627 300333337 469535217 709297881 901000011 1408605651 2127893643 2703000033 11112333469 33337000407 100011001221