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1020010110021 = 33726029207341
BaseRepresentation
bin11101101011111010101…
…01110001110001000101
310121111211020222100002000
432311331111301301011
5113202440042010041
62100330340335513
7133456541611140
oct16657525616105
93544736870060
101020010110021
1136364712a801
121458273a4599
1375256aa3126
1437523c01057
151b7ed32cbb6
hexed7d571c45

1020010110021 has 32 divisors (see below), whose sum is σ = 1727075923200. Its totient is φ = 582837716160.

The previous prime is 1020010110013. The next prime is 1020010110029. The reversal of 1020010110021 is 1200110100201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020010110013) and next prime (1020010110029).

It is not a de Polignac number, because 1020010110021 - 23 = 1020010110013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020010109985 and 1020010110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020010110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4815811 + ... + 5023151.

It is an arithmetic number, because the mean of its divisors is an integer number (53971122600).

Almost surely, 21020010110021 is an apocalyptic number.

It is an amenable number.

1020010110021 is a deficient number, since it is larger than the sum of its proper divisors (707065813179).

1020010110021 is a wasteful number, since it uses less digits than its factorization.

1020010110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233386 (or 233380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020010110021 its reverse (1200110100201), we get a palindrome (2220120210222).

The spelling of 1020010110021 in words is "one trillion, twenty billion, ten million, one hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 189 26029 78087 182203 207341 234261 546609 622023 702783 1451387 1639827 1866069 4354161 4919481 5598207 13062483 39187449 5396878889 16190636667 37778152223 48571910001 113334456669 145715730003 340003370007 1020010110021