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1022101020 = 223255678339
BaseRepresentation
bin111100111011000…
…000011000011100
32122020021010000100
4330323000120130
54043124213040
6245231101100
734220500233
oct7473003034
92566233010
101022101020
11484a49696
12246371790
131339a7a05
1499a61b1a
155eae9b30
hex3cec061c

1022101020 has 36 divisors (see below), whose sum is σ = 3100373640. Its totient is φ = 272560224.

The previous prime is 1022101007. The next prime is 1022101037. The reversal of 1022101020 is 201012201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10221010203 (a number of 28 digits) contains 333 as substring.

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 = 1022100993 and 1022101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2838990 + ... + 2839349.

It is an arithmetic number, because the mean of its divisors is an integer number (86121490).

Almost surely, 21022101020 is an apocalyptic number.

1022101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022101020 is an abundant number, since it is smaller than the sum of its proper divisors (2078272620).

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

1022101020 is a wasteful number, since it uses less digits than its factorization.

1022101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678354 (or 5678349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022101020 is about 31970.3146684545. The cubic root of 1022101020 is about 1007.3133905974.

Adding to 1022101020 its reverse (201012201), we get a palindrome (1223113221).

The spelling of 1022101020 in words is "one billion, twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5678339 11356678 17035017 22713356 28391695 34070034 51105051 56783390 68140068 85175085 102210102 113566780 170350170 204420204 255525255 340700340 511050510 1022101020