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10230213120 = 29351332059
BaseRepresentation
bin10011000011100010…
…01010101000000000
3222101221221200011020
421201301022220000
5131422413304440
64411044545440
7511341243141
oct114161125000
928357850136
1010230213120
11437a763596
121b960b2280
13c705c275a
146d096bac8
153ed1d43d0
hex261c4aa00

10230213120 has 80 divisors (see below), whose sum is σ = 32704737120. Its totient is φ = 2728054784.

The previous prime is 10230213109. The next prime is 10230213127. The reversal of 10230213120 is 2131203201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10230213120.

It is not an unprimeable number, because it can be changed into a prime (10230213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658350 + ... + 673709.

It is an arithmetic number, because the mean of its divisors is an integer number (408809214).

Almost surely, 210230213120 is an apocalyptic number.

10230213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10230213120 is an abundant number, since it is smaller than the sum of its proper divisors (22474524000).

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

10230213120 is an equidigital number, since it uses as much as digits as its factorization.

10230213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332085 (or 1332069 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10230213120 its reverse (2131203201), we get a palindrome (12361416321).

The spelling of 10230213120 in words is "ten billion, two hundred thirty million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 1332059 2664118 3996177 5328236 6660295 7992354 10656472 13320590 15984708 19980885 21312944 26641180 31969416 39961770 42625888 53282360 63938832 79923540 85251776 106564720 127877664 159847080 170503552 213129440 255755328 319694160 341007104 426258880 511510656 639388320 682014208 852517760 1023021312 1278776640 1705035520 2046042624 2557553280 3410071040 5115106560 10230213120