Search a number
-
+
20231433413202 = 23112979401333667
BaseRepresentation
bin1001001100110011111110…
…11001101110001001010010
32122122002212101021000210010
410212121333121232021102
510122432433423210302
6111010105303215350
74155446531412654
oct446317731561122
978562771230703
1020231433413202
1164a0114802880
122328ba2147556
13b39a7b94519b
144dd2c6cb66d4
152513ecbc916c
hex12667f66e252

20231433413202 has 128 divisors (see below), whose sum is σ = 46356895641600. Its totient is φ = 5829812352000.

The previous prime is 20231433413171. The next prime is 20231433413209.

It is a happy number.

20231433413202 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20231433413202.

It is not an unprimeable number, because it can be changed into a prime (20231433413209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60466773 + ... + 60800439.

It is an arithmetic number, because the mean of its divisors is an integer number (362163247200).

Almost surely, 220231433413202 is an apocalyptic number.

20231433413202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20231433413202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23178447820800).

20231433413202 is an abundant number, since it is smaller than the sum of its proper divisors (26125462228398).

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

20231433413202 is a wasteful number, since it uses less digits than its factorization.

20231433413202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334192.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2023143 and 3413202, that added together give a palindrome (5436345).

The spelling of 20231433413202 in words is "twenty trillion, two hundred thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 79 87 158 174 237 319 401 474 638 802 869 957 1203 1738 1914 2291 2406 2607 4411 4582 5214 6873 8822 11629 13233 13746 23258 25201 26466 31679 34887 50402 63358 69774 75603 95037 127919 151206 190074 255838 333667 348469 383757 667334 696938 767514 918691 1001001 1045407 1837382 2002002 2090814 2756073 3670337 5512146 7340674 9676343 10105601 11011011 19352686 20211202 22022022 26359693 29029029 30316803 52719386 58058058 60633606 79079079 106439773 133800467 158158158 212879546 267600934 289956623 319319319 401401401 579913246 638638638 764431097 802802802 869869869 1471805137 1528862194 1739739738 2293293291 2943610274 3880213543 4415415411 4586586582 7760427086 8408742067 8830830822 10570236893 11640640629 16817484134 21140473786 23281281258 25226226201 31710710679 42682348973 50452452402 63421421358 85364697946 116272605823 128047046919 232545211646 256094093838 306536869897 348817817469 613073739794 697635634938 919610609691 1839221219382 3371905568867 6743811137734 10115716706601 20231433413202