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122002010010 = 23253143728319
BaseRepresentation
bin111000110011111100…
…0101110111110011010
3102122220112022020221100
41301213320232332122
53444330003310020
6132014050252230
711546215655166
oct1614770567632
9378815266840
10122002010010
1147816a54951
121b78a287076
13b673bb658a
145c951a5ca6
153290b13a90
hex1c67e2ef9a

122002010010 has 48 divisors (see below), whose sum is σ = 327437660160. Its totient is φ = 31484388960.

The previous prime is 122002009967. The next prime is 122002010071. The reversal of 122002010010 is 10010200221.

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 = 122002009974 and 122002010001.

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, 21861370 + ... + 21866949.

It is an arithmetic number, because the mean of its divisors is an integer number (6821617920).

Almost surely, 2122002010010 is an apocalyptic number.

122002010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122002010010 is an abundant number, since it is smaller than the sum of its proper divisors (205435650150).

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

122002010010 is a wasteful number, since it uses less digits than its factorization.

122002010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43728363 (or 43728360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122002010010 its reverse (10010200221), we get a palindrome (132012210231).

The spelling of 122002010010 in words is "one hundred twenty-two billion, two million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 43728319 87456638 131184957 218641595 262369914 393554871 437283190 655924785 787109742 1311849570 1355577889 1967774355 2711155778 3935548710 4066733667 6777889445 8133467334 12200201001 13555778890 20333668335 24400402002 40667336670 61001005005 122002010010