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1012102003220 = 2257115091291177
BaseRepresentation
bin11101011101001011111…
…10101111101000010100
310120202102010110212221112
432232211332233220110
5113040241103100340
62052541522234152
7133056555040160
oct16564576575024
93522363425845
101012102003220
11360259217050
1214419aab5958
13745965c58a9
1436db3817ca0
151b4d8e35065
hexeba5fafa14

1012102003220 has 96 divisors (see below), whose sum is σ = 2655075144960. Its totient is φ = 314840355840.

The previous prime is 1012102003217. The next prime is 1012102003249. The reversal of 1012102003220 is 223002012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1012102003195 and 1012102003204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138272 + ... + 1429448.

It is an arithmetic number, because the mean of its divisors is an integer number (27657032760).

Almost surely, 21012102003220 is an apocalyptic number.

1012102003220 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 1012102003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327537572480).

1012102003220 is an abundant number, since it is smaller than the sum of its proper divisors (1642973141740).

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

1012102003220 is a wasteful number, since it uses less digits than its factorization.

1012102003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291713 (or 1291711 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1012102003220 its reverse (223002012101), we get a palindrome (1235104015321).

The spelling of 1012102003220 in words is "one trillion, twelve billion, one hundred two million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 509 770 1018 1540 2036 2545 3563 5090 5599 7126 10180 11198 14252 17815 22396 27995 35630 39193 55990 71260 78386 111980 156772 195965 391930 783860 1291177 2582354 5164708 6455885 9038239 12911770 14202947 18076478 25823540 28405894 36152956 45191195 56811788 71014735 90382390 99420629 142029470 180764780 198841258 284058940 397682516 497103145 657209093 994206290 1314418186 1988412580 2628836372 3286045465 4600463651 6572090930 7229300023 9200927302 13144181860 14458600046 18401854604 23002318255 28917200092 36146500115 46004636510 50605100161 72293000230 92009273020 101210200322 144586000460 202420400644 253025500805 506051001610 1012102003220