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202001020 = 2251353107137
BaseRepresentation
bin11000000101001…
…00101001111100
3112002002201022021
430002210221330
5403203013040
632013325524
75001660154
oct1402445174
9462081267
10202001020
11a402a3a1
12577968a4
1332b08040
141cb83764
1512b0224a
hexc0a4a7c

202001020 has 96 divisors (see below), whose sum is σ = 473231808. Its totient is φ = 71964672.

The previous prime is 202001003. The next prime is 202001039. The reversal of 202001020 is 20100202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202000994 and 202001012.

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, 1474392 + ... + 1474528.

It is an arithmetic number, because the mean of its divisors is an integer number (4929498).

Almost surely, 2202001020 is an apocalyptic number.

202001020 is a gapful number since it is divisible by the number (20) 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 202001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236615904).

202001020 is an abundant number, since it is smaller than the sum of its proper divisors (271230788).

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

202001020 is a wasteful number, since it uses less digits than its factorization.

202001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 202001020 is about 14212.7062869814. The cubic root of 202001020 is about 586.7474184356.

Adding to 202001020 its reverse (20100202), we get a palindrome (222101222).

The spelling of 202001020 in words is "two hundred two million, one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 107 130 137 212 214 260 265 274 428 530 535 548 685 689 1060 1070 1370 1378 1391 1781 2140 2740 2756 2782 3445 3562 5564 5671 6890 6955 7124 7261 8905 11342 13780 13910 14522 14659 17810 22684 27820 28355 29044 29318 35620 36305 56710 58636 72610 73295 73723 94393 113420 145220 146590 147446 188786 190567 293180 294892 368615 377572 381134 471965 737230 762268 776927 943930 952835 1474460 1553854 1887860 1905670 3107708 3811340 3884635 7769270 10100051 15538540 20200102 40400204 50500255 101000510 202001020