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10042010420 = 22513231239401
BaseRepresentation
bin10010101101000110…
…01110101100110100
3221220211210222120212
421112203032230310
5131031223313140
64340243044552
7503564452211
oct112643165464
927824728525
1010042010420
1142934a9072
121b43070758
13c40609100
146b397ab08
153db90a765
hex2568ceb34

10042010420 has 144 divisors (see below), whose sum is σ = 23729448960. Its totient is φ = 3564288000.

The previous prime is 10042010411. The next prime is 10042010423. The reversal of 10042010420 is 2401024001.

10042010420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10042010395 and 10042010404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042010423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25042220 + ... + 25042620.

It is an arithmetic number, because the mean of its divisors is an integer number (164787840).

Almost surely, 210042010420 is an apocalyptic number.

10042010420 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 10042010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11864724480).

10042010420 is an abundant number, since it is smaller than the sum of its proper divisors (13687438540).

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

10042010420 is a wasteful number, since it uses less digits than its factorization.

10042010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10042010420 its reverse (2401024001), we get a palindrome (12443034421).

The spelling of 10042010420 in words is "ten billion, forty-two million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 239 260 310 338 401 403 478 620 676 802 806 845 956 1195 1604 1612 1690 2005 2015 2390 3107 3380 4010 4030 4780 5213 5239 6214 7409 8020 8060 10426 10478 12428 12431 14818 15535 20852 20956 24862 26065 26195 29636 31070 37045 40391 49724 52130 52390 62140 62155 67769 74090 80782 95839 96317 104260 104780 124310 135538 148180 161564 161603 191678 192634 201955 248620 271076 323206 338845 383356 385268 403910 479195 481585 646412 677690 807820 808015 958390 963170 1245907 1252121 1355380 1616030 1916780 1926340 2100839 2491814 2504242 2971009 3232060 4201678 4983628 5008484 5942018 6229535 6260605 8403356 10504195 11884036 12459070 12521210 14855045 16196791 21008390 24918140 25042420 29710090 32393582 38623117 42016780 59420180 64787164 77246234 80983955 154492468 161967910 193115585 323935820 386231170 502100521 772462340 1004201042 2008402084 2510502605 5021005210 10042010420