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1201322010030 = 235174197592289
BaseRepresentation
bin10001011110110100010…
…111110010010110101110
311020211211012022011210220
4101132310113302112232
5124140301413310110
62315514003512210
7152535610413462
oct21366427622656
94224735264726
101201322010030
11423528a5786a
121749a8388666
138939045ac6c
1442203d384a2
15213b0cc7370
hex117b45f25ae

1201322010030 has 128 divisors (see below), whose sum is σ = 3159473869440. Its totient is φ = 291121397760.

The previous prime is 1201322010001. The next prime is 1201322010067. The reversal of 1201322010030 is 300102231021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1201322009991 and 1201322010009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1732126 + ... + 2324414.

It is an arithmetic number, because the mean of its divisors is an integer number (24683389605).

Almost surely, 21201322010030 is an apocalyptic number.

1201322010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201322010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579736934720).

1201322010030 is an abundant number, since it is smaller than the sum of its proper divisors (1958151859410).

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

1201322010030 is a wasteful number, since it uses less digits than its factorization.

1201322010030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592454.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1201322010030 its reverse (300102231021), we get a palindrome (1501424241051).

The spelling of 1201322010030 in words is "one trillion, two hundred one billion, three hundred twenty-two million, ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 97 102 123 170 194 205 246 255 291 410 485 510 582 615 697 970 1230 1394 1455 1649 2091 2910 3298 3485 3977 4182 4947 6970 7954 8245 9894 10455 11931 16490 19885 20910 23862 24735 39770 49470 59655 67609 119310 135218 202827 338045 405654 592289 676090 1014135 1184578 1776867 2028270 2961445 3553734 5922890 8884335 10068913 17768670 20137826 24283849 30206739 48567698 50344565 57452033 60413478 72851547 100689130 114904066 121419245 145703094 151033695 172356099 242838490 287260165 302067390 344712198 364257735 412825433 574520330 728515470 825650866 861780495 976684561 1238476299 1723560990 1953369122 2064127165 2355533353 2476952598 2930053683 4128254330 4711066706 4883422805 5860107366 6192381495 7066600059 9766845610 11777666765 12384762990 14133200118 14650268415 23555333530 29300536830 35333000295 40044067001 70666000590 80088134002 120132201003 200220335005 240264402006 400440670010 600661005015 1201322010030