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10202122002213 = 32471391731002973
BaseRepresentation
bin1001010001110101110111…
…0110111001111100100101
31100010022110102102211010100
42110131131312321330211
52314122421213032323
633410442401014313
72102036044123551
oct224353566717445
940108412384110
1010202122002213
1132837719a0959
1211892a6024399
13590095c9a0bb
14273adcd86861
1512a5a9828943
hex9475ddb9f25

10202122002213 has 48 divisors (see below), whose sum is σ = 15245846703360. Its totient is φ = 6570605976192.

The previous prime is 10202122002211. The next prime is 10202122002217. The reversal of 10202122002213 is 31220022120201.

10202122002213 is a `hidden beast` number, since 10 + 20 + 212 + 200 + 221 + 3 = 666.

It is not a de Polignac number, because 10202122002213 - 21 = 10202122002211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122002211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9670395 + ... + 10673367.

It is an arithmetic number, because the mean of its divisors is an integer number (317621806320).

Almost surely, 210202122002213 is an apocalyptic number.

It is an amenable number.

10202122002213 is a deficient number, since it is larger than the sum of its proper divisors (5043724701147).

10202122002213 is a wasteful number, since it uses less digits than its factorization.

10202122002213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003338 (or 1003335 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10202122002213 its reverse (31220022120201), we get a palindrome (41422144122414).

The spelling of 10202122002213 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two thousand, two hundred thirteen".

Divisors: 1 3 9 47 139 141 173 417 423 519 1251 1557 6533 8131 19599 24047 24393 58797 72141 73179 216423 1002973 1130209 3008919 3390627 9026757 10171881 47139731 139413247 141419193 173514329 418239741 424257579 520542987 1254719223 1561628961 6552422609 8155173463 19657267827 24118491731 24465520389 58971803481 72355475193 73396561167 217066425579 1133569111357 3400707334071 10202122002213