Search a number
-
+
102110121021020 = 22578324136462431
BaseRepresentation
bin10111001101111001011101…
…011111011100111001011100
3111101112122001220021212020212
4113031321131133130321130
5101340433011440133040
61001100424135231552
730336132662653610
oct2715713537347134
9441478056255225
10102110121021020
112a598728346a42
12b551760b185b8
1344c8c34c9aa88
141b30228989340
15bc11ba2ecd65
hex5cde5d7dce5c

102110121021020 has 96 divisors (see below), whose sum is σ = 249045994745856. Its totient is φ = 34443869875200.

The previous prime is 102110121021011. The next prime is 102110121021043. The reversal of 102110121021020 is 20120121011201.

It is a super-4 number, since 4×1021101210210204 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102110121020986 and 102110121021004.

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, 15430796 + ... + 21031635.

It is an arithmetic number, because the mean of its divisors is an integer number (2594229111936).

Almost surely, 2102110121021020 is an apocalyptic number.

102110121021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110121021020 is an abundant number, since it is smaller than the sum of its proper divisors (146935873724836).

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

102110121021020 is a wasteful number, since it uses less digits than its factorization.

102110121021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36462771 (or 36462769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102110121021020 its reverse (20120121011201), we get a palindrome (122230242032221).

The spelling of 102110121021020 in words is "one hundred two trillion, one hundred ten billion, one hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 241 332 415 482 581 830 964 1162 1205 1660 1687 2324 2410 2905 3374 4820 5810 6748 8435 11620 16870 20003 33740 40006 80012 100015 140021 200030 280042 400060 560084 700105 1400210 2800420 36462431 72924862 145849724 182312155 255237017 364624310 510474034 729248620 1020948068 1276185085 2552370170 3026381773 5104740340 6052763546 8787445871 12105527092 15131908865 17574891742 21184672411 30263817730 35149783484 42369344822 43937229355 60527635460 61512121097 84738689644 87874458710 105923362055 123024242194 175748917420 211846724110 246048484388 307560605485 423693448220 615121210970 729358007293 1230242421940 1458716014586 2917432029172 3646790036465 5105506051051 7293580072930 10211012102102 14587160145860 20422024204204 25527530255255 51055060510510 102110121021020