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20010002224344 = 233111971013379811
BaseRepresentation
bin1001000110010111100010…
…00100110001010011011000
32121211221022110102011000020
410203023301010301103120
510110320441032134334
6110320245040310440
74133450336356536
oct443136104612330
977757273364006
1020010002224344
116415215661250
1222b20a5312420
13b21c2059c792
144d26bc7dd156
1524a78d032e49
hex1232f11314d8

20010002224344 has 128 divisors (see below), whose sum is σ = 54904042702080. Its totient is φ = 6026885849600.

The previous prime is 20010002224309. The next prime is 20010002224357. The reversal of 20010002224344 is 44342220001002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 52494199 + ... + 52874009.

It is an arithmetic number, because the mean of its divisors is an integer number (428937833610).

Almost surely, 220010002224344 is an apocalyptic number.

20010002224344 is a gapful number since it is divisible by the number (24) 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 20010002224344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27452021351040).

20010002224344 is an abundant number, since it is smaller than the sum of its proper divisors (34894040477736).

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

20010002224344 is a wasteful number, since it uses less digits than its factorization.

20010002224344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381041 (or 381037 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20010002224344 its reverse (44342220001002), we get a palindrome (64352222225346).

The spelling of 20010002224344 in words is "twenty trillion, ten billion, two million, two hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 197 264 394 591 788 1013 1182 1576 2026 2167 2364 3039 4052 4334 4728 6078 6501 8104 8668 11143 12156 13002 17336 22286 24312 26004 33429 44572 52008 66858 89144 133716 199561 267432 379811 399122 598683 759622 798244 1139433 1197366 1519244 1596488 2195171 2278866 2394732 3038488 4177921 4390342 4557732 4789464 6585513 8355842 8780684 9115464 12533763 13171026 16711684 17561368 25067526 26342052 33423368 50135052 52684104 74822767 100270104 149645534 224468301 299291068 384748543 448936602 598582136 769497086 823050437 897873204 1154245629 1538994172 1646100874 1795746408 2308491258 2469151311 3077988344 3292201748 4232233973 4616982516 4938302622 6584403496 8464467946 9233965032 9876605244 12696701919 16928935892 19753210488 25393403838 33857871784 50786807676 75795462971 101573615352 151590925942 227386388913 303181851884 454772777826 606363703768 833750092681 909545555652 1667500185362 1819091111304 2501250278043 3335000370724 5002500556086 6670000741448 10005001112172 20010002224344