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202310001320 = 235710140917491
BaseRepresentation
bin1011110001101010011…
…1011010001010101000
3201100012022221220120212
42330122213122022220
511303312330020240
6232535005240252
720421300431510
oct2743247321250
9640168856525
10202310001320
11788877a33a9
1233261263088
1316101a8666b
149b12bd4840
1553e116e165
hex2f1a9da2a8

202310001320 has 128 divisors (see below), whose sum is σ = 526691116800. Its totient is φ = 68504832000.

The previous prime is 202310001269. The next prime is 202310001367. The reversal of 202310001320 is 23100013202.

It is a happy number.

202310001320 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 202310001295 and 202310001304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11557775 + ... + 11575265.

It is an arithmetic number, because the mean of its divisors is an integer number (4114774350).

Almost surely, 2202310001320 is an apocalyptic number.

202310001320 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 202310001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263345558400).

202310001320 is an abundant number, since it is smaller than the sum of its proper divisors (324381115480).

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

202310001320 is a wasteful number, since it uses less digits than its factorization.

202310001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18019 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 202310001320 its reverse (23100013202), we get a palindrome (225410014522).

The spelling of 202310001320 in words is "two hundred two billion, three hundred ten million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 409 505 707 808 818 1010 1414 1636 2020 2045 2828 2863 3272 3535 4040 4090 5656 5726 7070 8180 11452 14140 14315 16360 17491 22904 28280 28630 34982 41309 57260 69964 82618 87455 114520 122437 139928 165236 174910 206545 244874 289163 330472 349820 413090 489748 578326 612185 699640 826180 979496 1156652 1224370 1445815 1652360 1766591 2313304 2448740 2891630 3533182 4897480 5783260 7066364 7153819 8832955 11566520 12366137 14132728 14307638 17665910 24732274 28615276 35331820 35769095 49464548 50076733 57230552 61830685 70663640 71538190 98929096 100153466 123661370 143076380 200306932 247322740 250383665 286152760 400613864 494645480 500767330 722535719 1001534660 1445071438 2003069320 2890142876 3612678595 5057750033 5780285752 7225357190 10115500066 14450714380 20231000132 25288750165 28901428760 40462000264 50577500330 101155000660 202310001320