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10021222222146 = 235191085252569
BaseRepresentation
bin1001000111010011111101…
…1001000000100101000010
31022111000112012120211200000
42101310333121000211002
52303141430342102041
633151404054540430
72053003141302132
oct221647731004502
938430465524600
1010021222222146
113213a81767693
12115a21b067716
13578cc6b08315
1426905b88aac2
15125a1d138bb6
hex91d3f640942

10021222222146 has 48 divisors (see below), whose sum is σ = 23701916128800. Its totient is φ = 3164596488288.

The previous prime is 10021222222129. The next prime is 10021222222147. The reversal of 10021222222146 is 64122222212001.

10021222222146 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 222 + 221 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10021222222147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542617051 + ... + 542635518.

It is an arithmetic number, because the mean of its divisors is an integer number (493789919350).

Almost surely, 210021222222146 is an apocalyptic number.

10021222222146 is an abundant number, since it is smaller than the sum of its proper divisors (13680693906654).

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

10021222222146 is a wasteful number, since it uses less digits than its factorization.

10021222222146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085252605 (or 1085252593 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10021222222146 its reverse (64122222212001), we get a palindrome (74143444434147).

The spelling of 10021222222146 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 9234 1085252569 2170505138 3255757707 6511515414 9767273121 19534546242 20619798811 29301819363 41239597622 58603638726 61859396433 87905458089 123718792866 175810916178 185578189299 263716374267 371156378598 527432748534 556734567897 1113469135794 1670203703691 3340407407382 5010611111073 10021222222146