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1013201020 = 2251317415591
BaseRepresentation
bin111100011001000…
…011100001111100
32121121111221111201
4330121003201330
54033334413040
6244312225244
734052031556
oct7431034174
92547457451
101013201020
1147aa1aa17
1224339b224
13131baca40
14987c64d6
155de3ca9a
hex3c64387c

1013201020 has 96 divisors (see below), whose sum is σ = 2485800576. Its totient is φ = 343449600.

The previous prime is 1013201017. The next prime is 1013201069. The reversal of 1013201020 is 201023101.

1013201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1013200988 and 1013201006.

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, 178425 + ... + 184015.

It is an arithmetic number, because the mean of its divisors is an integer number (25893756).

Almost surely, 21013201020 is an apocalyptic number.

1013201020 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 1013201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242900288).

1013201020 is an abundant number, since it is smaller than the sum of its proper divisors (1472599556).

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

1013201020 is a wasteful number, since it uses less digits than its factorization.

1013201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1013201020 is about 31830.8187139445. The cubic root of 1013201020 is about 1004.3811177764.

Adding to 1013201020 its reverse (201023101), we get a palindrome (1214224121).

The spelling of 1013201020 in words is "one billion, thirteen million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 41 52 65 68 82 85 130 164 170 205 221 260 340 410 442 533 697 820 884 1066 1105 1394 2132 2210 2665 2788 3485 4420 5330 5591 6970 9061 10660 11182 13940 18122 22364 27955 36244 45305 55910 72683 90610 95047 111820 145366 181220 190094 229231 290732 363415 380188 458462 475235 726830 916924 950470 1146155 1235611 1453660 1900940 2292310 2471222 2980003 3896927 4584620 4942444 5960006 6178055 7793854 11920012 12356110 14900015 15587708 19484635 24712220 29800030 38969270 50660051 59600060 77938540 101320102 202640204 253300255 506600510 1013201020