Search a number
-
+
102404411111100 = 22352748764005291
BaseRepresentation
bin10111010010001011100010…
…100011000011011010111100
3111102120202200111000102002210
4113102023202203003122330
5101410243213221023400
61001443534221220420
730366321525314460
oct2722134243033274
9442522614012083
10102404411111100
112a6a151543841a
12b59a7b2101710
13451a904b6bb57
141b405856324a0
15bc8b91576950
hex5d22e28c36bc

102404411111100 has 72 divisors (see below), whose sum is σ = 338617252747648. Its totient is φ = 23406722539200.

The previous prime is 102404411111059. The next prime is 102404411111117. The reversal of 102404411111100 is 1111114404201.

It is a super-2 number, since 2×1024044111111002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24382000546 + ... + 24382004745.

Almost surely, 2102404411111100 is an apocalyptic number.

102404411111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102404411111100 is an abundant number, since it is smaller than the sum of its proper divisors (236212841636548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102404411111100 is a wasteful number, since it uses less digits than its factorization.

102404411111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48764005315 (or 48764005308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 102404411111100 its reverse (1111114404201), we get a palindrome (103515525515301).

The spelling of 102404411111100 in words is "one hundred two trillion, four hundred four billion, four hundred eleven million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 48764005291 97528010582 146292015873 195056021164 243820026455 292584031746 341348037037 487640052910 585168063492 682696074074 731460079365 975280105820 1024044111111 1219100132275 1365392148148 1462920158730 1706740185185 2048088222222 2438200264550 2925840317460 3413480370370 3657300396825 4096176444444 4876400529100 5120220555555 6826960740740 7314600793650 8533700925925 10240441111110 14629201587300 17067401851850 20480882222220 25601102777775 34134803703700 51202205555550 102404411111100