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10222013300 = 22521719316471
BaseRepresentation
bin10011000010100011…
…11000101101110100
3222101101112002010012
421201101320231310
5131413313411200
64410153115352
7511211452022
oct114121705564
928341462105
1010222013300
114376072984
121b933b8b58
13c6b9b13a5
146cd835712
153ec614a35
hex261478b74

10222013300 has 72 divisors (see below), whose sum is σ = 24722792640. Its totient is φ = 3645734400.

The previous prime is 10222013287. The next prime is 10222013323. The reversal of 10222013300 is 331022201.

It is a happy number.

It is a super-3 number, since 3×102220133003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125936 + ... + 190535.

It is an arithmetic number, because the mean of its divisors is an integer number (343372120).

Almost surely, 210222013300 is an apocalyptic number.

10222013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222013300 is an abundant number, since it is smaller than the sum of its proper divisors (14500779340).

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

10222013300 is a wasteful number, since it uses less digits than its factorization.

10222013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316521 (or 316514 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10222013300 its reverse (331022201), we get a palindrome (10553035501).

The spelling of 10222013300 in words is "ten billion, two hundred twenty-two million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 316471 632942 1265884 1582355 3164710 5380007 6012949 6329420 7911775 10760014 12025898 15823550 21520028 24051796 26900035 30064745 31647100 53800070 60129490 102220133 107600140 120258980 134500175 150323725 204440266 269000350 300647450 408880532 511100665 538000700 601294900 1022201330 2044402660 2555503325 5111006650 10222013300