Search a number
-
+
20453104310430 = 23511461967139033
BaseRepresentation
bin1001010011010000111000…
…00001000101100010011110
32200102022001000011100121210
410221220130001011202132
510140100424200413210
6111300005412005250
74210454664065241
oct451503401054236
980368030140553
1020453104310430
1165761271988a0
122363b47300826
13b54947868a6c
14509d1514b258
1525707391ee20
hex129a1c04589e

20453104310430 has 128 divisors (see below), whose sum is σ = 53721990153216. Its totient is φ = 4942420761600.

The previous prime is 20453104310411. The next prime is 20453104310461. The reversal of 20453104310430 is 3401340135402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147040194 + ... + 147179226.

It is an arithmetic number, because the mean of its divisors is an integer number (419703048072).

Almost surely, 220453104310430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20453104310430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26860995076608).

20453104310430 is an abundant number, since it is smaller than the sum of its proper divisors (33268885842786).

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

20453104310430 is a wasteful number, since it uses less digits than its factorization.

20453104310430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140482.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20453104310430 its reverse (3401340135402), we get a palindrome (23854444445832).

The spelling of 20453104310430 in words is "twenty trillion, four hundred fifty-three billion, one hundred four million, three hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 461 922 967 1383 1934 2305 2766 2901 4610 4835 5071 5802 6915 9670 10142 10637 13830 14505 15213 21274 25355 29010 30426 31911 50710 53185 63822 76065 106370 139033 152130 159555 278066 319110 417099 445787 695165 834198 891574 1337361 1390330 1529363 2085495 2228935 2674722 3058726 4170990 4457870 4588089 4903657 6686805 7646815 9176178 9807314 13373610 14710971 15293630 22940445 24518285 29421942 45880890 49036570 64094213 73554855 128188426 134444911 147109710 192282639 268889822 320471065 384565278 403334733 640942130 672224555 705036343 806669466 961413195 1344449110 1410072686 1478894021 1922826390 2016673665 2115109029 2957788042 3525181715 4033347330 4230218058 4436682063 7050363430 7394470105 8873364126 10575545145 14788940210 21151090290 22183410315 44366820630 61979103971 123958207942 185937311913 309895519855 371874623826 619791039710 681770143681 929686559565 1363540287362 1859373119130 2045310431043 3408850718405 4090620862086 6817701436810 10226552155215 20453104310430