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10202121202120 = 23519131711019197
BaseRepresentation
bin1001010001110101110111…
…0011110110100111001000
31100010022110100221011121021
42110131131303312213020
52314122421011431440
633410442331522224
72102036034252121
oct224353563664710
940108410834537
1010202121202120
1132837714a4821
1211892a58b9374
13590095a79b83
14273adcc19048
1512a5a971b84a
hex9475dcf69c8

10202121202120 has 64 divisors (see below), whose sum is σ = 24164776900800. Its totient is φ = 3865769660160.

The previous prime is 10202121202103. The next prime is 10202121202121. The reversal of 10202121202120 is 2120212120201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10202121202094 and 10202121202103.

It is not an unprimeable number, because it can be changed into a prime (10202121202121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9500362 + ... + 10519558.

It is an arithmetic number, because the mean of its divisors is an integer number (377574639075).

Almost surely, 210202121202120 is an apocalyptic number.

10202121202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121202120 is an abundant number, since it is smaller than the sum of its proper divisors (13962655698680).

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

10202121202120 is a wasteful number, since it uses less digits than its factorization.

10202121202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032398 (or 1032394 counting only the distinct ones).

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

Adding to 10202121202120 its reverse (2120212120201), we get a palindrome (12322333322321).

The spelling of 10202121202120 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 13171 26342 52684 65855 105368 131710 250249 263420 500498 526840 1000996 1019197 1251245 2001992 2038394 2502490 4076788 5004980 5095985 8153576 10009960 10191970 19364743 20383940 38729486 40767880 77458972 96823715 154917944 193647430 387294860 774589720 13423843687 26847687374 53695374748 67119218435 107390749496 134238436870 255053030053 268476873740 510106060106 536953747480 1020212120212 1275265150265 2040424240424 2550530300530 5101060601060 10202121202120