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10221330330 = 2335353107243
BaseRepresentation
bin10011000010011110…
…10001111110011010
3222101100020101021000
421201033101332122
5131413130032310
64410130325430
7511202605611
oct114117217632
928340211230
1010221330330
114375746842
121b93129876
13c6b802573
146cd6d8878
153ec52c4c0
hex2613d1f9a

10221330330 has 64 divisors (see below), whose sum is σ = 27334350720. Its totient is φ = 2717941248.

The previous prime is 10221330313. The next prime is 10221330347. The reversal of 10221330330 is 3303312201.

10221330330 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 330 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (10221330313) and next prime (10221330347).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 41689 + ... + 148931.

It is an arithmetic number, because the mean of its divisors is an integer number (427099230).

Almost surely, 210221330330 is an apocalyptic number.

10221330330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667175360).

10221330330 is an abundant number, since it is smaller than the sum of its proper divisors (17113020390).

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

10221330330 is a wasteful number, since it uses less digits than its factorization.

10221330330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107612 (or 107606 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10221330330 its reverse (3303312201), we get a palindrome (13524642531).

The spelling of 10221330330 in words is "ten billion, two hundred twenty-one million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 353 706 1059 1765 2118 3177 3530 5295 6354 9531 10590 15885 19062 31770 47655 95310 107243 214486 321729 536215 643458 965187 1072430 1608645 1930374 2895561 3217290 4825935 5791122 9651870 14477805 28955610 37856779 75713558 113570337 189283895 227140674 340711011 378567790 567851685 681422022 1022133033 1135703370 1703555055 2044266066 3407110110 5110665165 10221330330