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100200120111 = 32713216375749
BaseRepresentation
bin101110101010001100…
…1000111111100101111
3100120122010012111102200
41131110121013330233
53120202212320421
6114010432152543
710145023653030
oct1352431077457
9316563174380
10100200120111
11395493a0323
1217504998753
1395ab109600
144bc7874a87
152916ab9726
hex1754647f2f

100200120111 has 72 divisors (see below), whose sum is σ = 179252892000. Its totient is φ = 52811336448.

The previous prime is 100200120107. The next prime is 100200120133. The reversal of 100200120111 is 111021002001.

It is a happy number.

It is not a de Polignac number, because 100200120111 - 22 = 100200120107 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100200120093 and 100200120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200120101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17426265 + ... + 17432013.

It is an arithmetic number, because the mean of its divisors is an integer number (2489623500).

Almost surely, 2100200120111 is an apocalyptic number.

100200120111 is a deficient number, since it is larger than the sum of its proper divisors (79052771889).

100200120111 is a wasteful number, since it uses less digits than its factorization.

100200120111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7425 (or 7409 counting only the distinct ones).

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

Adding to 100200120111 its reverse (111021002001), we get a palindrome (211221122112).

The spelling of 100200120111 in words is "one hundred billion, two hundred million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 3 7 9 13 21 39 63 91 117 169 273 507 819 1183 1521 1637 3549 4911 5749 10647 11459 14733 17247 21281 34377 40243 51741 63843 74737 103131 120729 148967 191529 224211 276653 362187 446901 523159 672633 829959 971581 1340703 1569477 1936571 2489877 2914743 4708431 5809713 6801067 8744229 9411113 17429139 20403201 28233339 61209603 65877791 84700017 122344469 197633373 367033407 592900119 856411283 1101100221 1590478097 2569233849 4771434291 7707701547 11133346679 14314302873 33400040037 100200120111