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10220212100 = 2252719768437
BaseRepresentation
bin10011000010010110…
…00000111110000100
3222101021010120100002
421201023000332010
5131412333241400
64410050340432
7511160240510
oct114113007604
928337116302
1010220212100
11437505268a
121b9288a718
13c6b5005a7
146cd4c7140
153ec3aaed5
hex2612c0f84

10220212100 has 72 divisors (see below), whose sum is σ = 26680167360. Its totient is φ = 3319643520.

The previous prime is 10220212073. The next prime is 10220212111. The reversal of 10220212100 is 121202201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370919 + ... + 397518.

It is an arithmetic number, because the mean of its divisors is an integer number (370557880).

Almost surely, 210220212100 is an apocalyptic number.

10220212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220212100 is an abundant number, since it is smaller than the sum of its proper divisors (16459955260).

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

10220212100 is a wasteful number, since it uses less digits than its factorization.

10220212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768477 (or 768470 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10220212100 its reverse (121202201), we get a palindrome (10341414301).

The spelling of 10220212100 in words is "ten billion, two hundred twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 768437 1536874 3073748 3842185 5379059 7684370 10758118 14600303 15368740 19210925 21516236 26895295 29200606 38421850 53790590 58401212 73001515 76843700 102202121 107581180 134476475 146003030 204404242 268952950 292006060 365007575 408808484 511010605 537905900 730015150 1022021210 1460030300 2044042420 2555053025 5110106050 10220212100