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10223434120 = 23519101133187
BaseRepresentation
bin10011000010101110…
…10011100110001000
3222101111012021010011
421201113103212020
5131414144342440
64410243401304
7511226520244
oct114127234610
928344167104
1010223434120
114376953409
121b93983234
13c6c08b003
146cdac5424
153ec7e59ea
hex2615d3988

10223434120 has 64 divisors (see below), whose sum is σ = 24453316800. Its totient is φ = 3835756800.

The previous prime is 10223434097. The next prime is 10223434153. The reversal of 10223434120 is 2143432201.

It is a junction number, because it is equal to n+sod(n) for n = 10223434091 and 10223434100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10167 + ... + 143353.

It is an arithmetic number, because the mean of its divisors is an integer number (382083075).

Almost surely, 210223434120 is an apocalyptic number.

10223434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226658400).

10223434120 is an abundant number, since it is smaller than the sum of its proper divisors (14229882680).

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

10223434120 is a wasteful number, since it uses less digits than its factorization.

10223434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133318 (or 133314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10223434120 its reverse (2143432201), we get a palindrome (12366866321).

The spelling of 10223434120 in words is "ten billion, two hundred twenty-three million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 505 760 808 1010 1919 2020 3838 4040 7676 9595 15352 19190 38380 76760 133187 266374 532748 665935 1065496 1331870 2530553 2663740 5061106 5327480 10122212 12652765 13451887 20244424 25305530 26903774 50611060 53807548 67259435 101222120 107615096 134518870 255585853 269037740 511171706 538075480 1022343412 1277929265 2044686824 2555858530 5111717060 10223434120