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1011000210102 = 233231453560227
BaseRepresentation
bin11101011011001000100…
…11101111001010110110
310120122120100020222221000
432231210103233022312
5113031012023210402
62052240323104130
7133020345665301
oct16554423571266
93518510228830
101011000210102
1135a843297623
12143b31b12046
137444c2679bc
1436d0b36db38
151b472347c1c
hexeb644ef2b6

1011000210102 has 64 divisors (see below), whose sum is σ = 2345965954560. Its totient is φ = 322125468192.

The previous prime is 1011000210097. The next prime is 1011000210107. The reversal of 1011000210102 is 2010120001101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011000210097) and next prime (1011000210107).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000210107) 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, 1524513 + ... + 2084739.

It is an arithmetic number, because the mean of its divisors is an integer number (36655718040).

Almost surely, 21011000210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011000210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172982977280).

1011000210102 is an abundant number, since it is smaller than the sum of its proper divisors (1334965744458).

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

1011000210102 is a wasteful number, since it uses less digits than its factorization.

1011000210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561714 (or 561708 counting only the distinct ones).

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

Adding to 1011000210102 its reverse (2010120001101), we get a palindrome (3021120211203).

The spelling of 1011000210102 in words is "one trillion, eleven billion, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 1453 2906 4359 8718 13077 26154 33419 39231 66838 78462 100257 200514 300771 560227 601542 902313 1120454 1680681 1804626 3361362 5042043 10084086 12885221 15126129 25770442 30252258 38655663 77311326 115966989 231933978 347900967 695801934 814009831 1628019662 2442029493 4884058986 7326088479 14652176958 18722226113 21978265437 37444452226 43956530874 56166678339 112333356678 168500035017 337000070034 505500105051 1011000210102