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202411133412 = 2231922323916657
BaseRepresentation
bin1011110010000010100…
…1001100100111100100
3201100110101020221201220
42330200221030213210
511304014222232122
6232553021020340
720423636150325
oct2744051144744
9640411227656
10202411133412
1178929898444
123328b0b46b0
1316119a05537
149b223dc44c
1553e9e9925c
hex2f20a4c9e4

202411133412 has 96 divisors (see below), whose sum is σ = 501499084800. Its totient is φ = 63362621952.

The previous prime is 202411133411. The next prime is 202411133413. The reversal of 202411133412 is 214331114202.

It is an interprime number because it is at equal distance from previous prime (202411133411) and next prime (202411133413).

It is not an unprimeable number, because it can be changed into a prime (202411133411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12143388 + ... + 12160044.

It is an arithmetic number, because the mean of its divisors is an integer number (5223948800).

Almost surely, 2202411133412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202411133412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250749542400).

202411133412 is an abundant number, since it is smaller than the sum of its proper divisors (299087951388).

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

202411133412 is a wasteful number, since it uses less digits than its factorization.

202411133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17145 (or 17143 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 202411133412 its reverse (214331114202), we get a palindrome (416742247614).

The spelling of 202411133412 in words is "two hundred two billion, four hundred eleven million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 223 228 239 446 478 669 717 892 956 1338 1434 2676 2868 4237 4541 8474 9082 12711 13623 16657 16948 18164 25422 27246 33314 49971 50844 53297 54492 66628 99942 106594 159891 199884 213188 316483 319782 632966 639564 949449 1012643 1265932 1898898 2025286 3037929 3714511 3797796 3981023 4050572 6075858 7429022 7962046 11143533 11943069 12151716 14858044 15924092 22287066 23886138 44574132 47772276 70575709 75639437 141151418 151278874 211727127 226918311 282302836 302557748 423454254 453836622 846908508 887768129 907673244 1775536258 2663304387 3551072516 5326608774 10653217548 16867594451 33735188902 50602783353 67470377804 101205566706 202411133412