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10221201210 = 23511177732357
BaseRepresentation
bin10011000010011101…
…10010011100111010
3222101022222211010210
421201032302130322
5131413111414320
64410123451550
7511201530303
oct114116623472
928338884123
1010221201210
114375668830
121b93086bb6
13c6b78886c
146cd6a37aa
153ec5040e0
hex2613b273a

10221201210 has 128 divisors (see below), whose sum is σ = 28383830784. Its totient is φ = 2328104960.

The previous prime is 10221201203. The next prime is 10221201233. The reversal of 10221201210 is 1210212201.

10221201210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4335352 + ... + 4337708.

It is an arithmetic number, because the mean of its divisors is an integer number (221748678).

Almost surely, 210221201210 is an apocalyptic number.

10221201210 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 10221201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191915392).

10221201210 is an abundant number, since it is smaller than the sum of its proper divisors (18162629574).

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

10221201210 is a wasteful number, since it uses less digits than its factorization.

10221201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10221201210 its reverse (1210212201), we get a palindrome (11431413411).

The spelling of 10221201210 in words is "ten billion, two hundred twenty-one million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 773 935 1122 1546 1870 2319 2357 2805 3865 4638 4714 5610 7071 7730 8503 11595 11785 13141 14142 17006 23190 23570 25509 25927 26282 35355 39423 40069 42515 51018 51854 65705 70710 77781 78846 80138 85030 120207 127545 129635 131410 144551 155562 197115 200345 240414 255090 259270 289102 388905 394230 400690 433653 440759 601035 722755 777810 867306 881518 1202070 1322277 1445510 1821961 2168265 2203795 2644554 3643922 4336530 4407590 5465883 6611385 9109805 10931766 13222770 18219610 20041571 27329415 30973337 40083142 54658830 60124713 61946674 92920011 100207855 120249426 154866685 185840022 200415710 300623565 309733370 340706707 464600055 601247130 681413414 929200110 1022120121 1703533535 2044240242 3407067070 5110600605 10221201210