Search a number
-
+
102001222011220 = 225710134920669527
BaseRepresentation
bin10111001100010100000010…
…100110101100100101010100
3111101011012222112120222111121
4113030110002212230211110
5101332142000313324340
61000534414155413324
730325226240442250
oct2714240246544524
9441135875528447
10102001222011220
112a556525728094
12b53462aa54244
1344bb89b90a47c
141b28c57ac1260
15bbd444bd494a
hex5cc5029ac954

102001222011220 has 96 divisors (see below), whose sum is σ = 247935122265600. Its totient is φ = 34526376230400.

The previous prime is 102001222011197. The next prime is 102001222011251. The reversal of 102001222011220 is 22110222100201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102001222011194 and 102001222011203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5399904 + ... + 15269623.

It is an arithmetic number, because the mean of its divisors is an integer number (2582657523600).

Almost surely, 2102001222011220 is an apocalyptic number.

102001222011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001222011220 is an abundant number, since it is smaller than the sum of its proper divisors (145933900254380).

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

102001222011220 is a wasteful number, since it uses less digits than its factorization.

102001222011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20669993 (or 20669991 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102001222011220 its reverse (22110222100201), we get a palindrome (124111444111421).

The spelling of 102001222011220 in words is "one hundred two trillion, one billion, two hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 349 404 505 698 707 1010 1396 1414 1745 2020 2443 2828 3490 3535 4886 6980 7070 9772 12215 14140 24430 35249 48860 70498 140996 176245 246743 352490 493486 704980 986972 1233715 2467430 4934860 20669527 41339054 82678108 103347635 144686689 206695270 289373378 413390540 578746756 723433445 1446866890 2087622227 2893733780 4175244454 7213664923 8350488908 10438111135 14427329846 14613355589 20876222270 28854659692 29226711178 36068324615 41752444540 50495654461 58453422356 72136649230 73066777945 100991308922 144273298460 146133555890 201982617844 252478272305 292267111780 504956544610 728580157223 1009913089220 1457160314446 2914320628892 3642900786115 5100061100561 7285801572230 10200122201122 14571603144460 20400244402244 25500305502805 51000611005610 102001222011220