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111100102011020 = 225293144913761901
BaseRepresentation
bin11001010000101110000010…
…000111010110100010001100
3112120101001210010120020122202
4121100232002013112202030
5104030231002103323040
61032142403211501032
732254501045363403
oct3120560207264214
9476331703506582
10111100102011020
113244431a236611
1210563b3b457778
1349cb905245685
141d613b8ba063a
15cc9e7e114015
hex650b821d688c

111100102011020 has 96 divisors (see below), whose sum is σ = 249695949888000. Its totient is φ = 41431025664000.

The previous prime is 111100102010993. The next prime is 111100102011047. The reversal of 111100102011020 is 20110201001111.

It is an interprime number because it is at equal distance from previous prime (111100102010993) and next prime (111100102011047).

It is a junction number, because it is equal to n+sod(n) for n = 111100102010992 and 111100102011010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1192070 + ... + 14953970.

It is an arithmetic number, because the mean of its divisors is an integer number (2600999478000).

Almost surely, 2111100102011020 is an apocalyptic number.

111100102011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100102011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124847974944000).

111100102011020 is an abundant number, since it is smaller than the sum of its proper divisors (138595847876980).

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

111100102011020 is a wasteful number, since it uses less digits than its factorization.

111100102011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13762419 (or 13762417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111100102011020 its reverse (20110201001111), we get a palindrome (131210303012131).

The spelling of 111100102011020 in words is "one hundred eleven trillion, one hundred billion, one hundred two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 449 580 620 898 899 1796 1798 2245 3596 4490 4495 8980 8990 13021 13919 17980 26042 27838 52084 55676 65105 69595 130210 139190 260420 278380 403651 807302 1614604 2018255 4036510 8073020 13761901 27523802 55047604 68809505 137619010 275238020 399095129 426618931 798190258 853237862 1596380516 1706475724 1995475645 2133094655 3990951290 4266189310 6179093549 7981902580 8532378620 12358187098 12371948999 24716374196 24743897998 30895467745 49487795996 61790935490 61859744995 123581870980 123719489990 179193712921 191551900019 247438979980 358387425842 383103800038 716774851684 766207600076 895968564605 957759500095 1791937129210 1915519000190 3583874258420 3831038000380 5555005100551 11110010201102 22220020402204 27775025502755 55550051005510 111100102011020