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10210010111020 = 22517101756139323
BaseRepresentation
bin1001010010010011010000…
…0001101001110000101100
31100011001211011022021011101
42110210310001221300230
52314240100042023040
633414225222332444
72102435366004406
oct224446401516054
940131734267141
1010210010111020
11328704a595845
12118a92788a124
13590a522950c5
1427424a845b76
1512a8bc0c109a
hex94934069c2c

10210010111020 has 96 divisors (see below), whose sum is σ = 22930648001856. Its totient is φ = 3805111296000.

The previous prime is 10210010110987. The next prime is 10210010111039. The reversal of 10210010111020 is 2011101001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10210010110988 and 10210010111006.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 259625079 + ... + 259664401.

It is an arithmetic number, because the mean of its divisors is an integer number (238860916686).

Almost surely, 210210010111020 is an apocalyptic number.

10210010111020 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 10210010111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465324000928).

10210010111020 is an abundant number, since it is smaller than the sum of its proper divisors (12720637890836).

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

10210010111020 is a wasteful number, since it uses less digits than its factorization.

10210010111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47011 (or 47009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10210010111020 its reverse (2011101001201), we get a palindrome (12221111112221).

The spelling of 10210010111020 in words is "ten trillion, two hundred ten billion, ten million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 7561 8585 15122 17170 30244 34340 37805 39323 75610 78646 128537 151220 157292 196615 257074 393230 514148 642685 668491 763661 786460 1285370 1336982 1527322 2570740 2673964 3054644 3342455 3818305 3971623 6684910 7636610 7943246 12982237 13369820 15273220 15886492 19858115 25964474 39716230 51928948 64911185 67517591 79432460 129822370 135035182 259644740 270070364 297321203 337587955 594642406 675175910 1189284812 1350351820 1486606015 2973212030 5054460451 5946424060 10108920902 20217841804 25272302255 30029441503 50544604510 60058883006 101089209020 120117766012 150147207515 300294415030 510500505551 600588830060 1021001011102 2042002022204 2552502527755 5105005055510 10210010111020