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10213334234010 = 23253531256925577
BaseRepresentation
bin1001010010011111101000…
…1010001011001110011010
31100011101101211020012122200
42110213322022023032122
52314313402030442020
633415535130031030
72102613641410155
oct224477212131632
940141354205580
1010213334234010
1132884a5a06626
12118b4b4b78476
13591161b7239b
14274484100c9c
1512aa13d3b590
hex949fa28b39a

10213334234010 has 96 divisors (see below), whose sum is σ = 26633054644560. Its totient is φ = 2715518091264.

The previous prime is 10213334233981. The next prime is 10213334234027. The reversal of 10213334234010 is 1043243331201.

It is a happy number.

10213334234010 is a `hidden beast` number, since 1 + 0 + 213 + 3 + 3 + 42 + 3 + 401 + 0 = 666.

10213334234010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4486851731961 + 5726482502049 = 2118219^2 + 2393007^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399304342 + ... + 399329918.

Almost surely, 210213334234010 is an apocalyptic number.

10213334234010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10213334234010 is an abundant number, since it is smaller than the sum of its proper divisors (16419720410550).

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

10213334234010 is a wasteful number, since it uses less digits than its factorization.

10213334234010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38512 (or 38509 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10213334234010 its reverse (1043243331201), we get a palindrome (11256577565211).

The spelling of 10213334234010 in words is "ten trillion, two hundred thirteen billion, three hundred thirty-four million, two hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 353 706 1059 1765 2118 3177 3530 5295 6354 10590 12569 15885 25138 25577 31770 37707 51154 62845 75414 76731 113121 125690 127885 153462 188535 226242 230193 255770 377070 383655 460386 565605 767310 1131210 1150965 2301930 4436857 8873714 9028681 13310571 18057362 22184285 26621142 27086043 39931713 44368570 45143405 54172086 66552855 79863426 81258129 90286810 133105710 135430215 162516258 199658565 270860430 321477313 399317130 406290645 642954626 812581290 964431939 1607386565 1928863878 2893295817 3214773130 4822159695 5786591634 9644319390 14466479085 28932958170 113481491489 226962982978 340444474467 567407457445 680888948934 1021333423401 1134814914890 1702222372335 2042666846802 3404444744670 5106667117005 10213334234010