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2262442142103 = 3112137347913711
BaseRepresentation
bin100000111011000100000…
…011110110100110010111
322000021202111001000101020
4200323010003312212113
5244031440142021403
64451203534532223
7322312265622423
oct40730403664627
98007674030336
102262442142103
117a2550675600
12306587367073
13135469262c10
147b7078d3b83
153dcb82a2453
hex20ec40f6997

2262442142103 has 96 divisors (see below), whose sum is σ = 3627550187520. Its totient is φ = 1245666470400.

The previous prime is 2262442142099. The next prime is 2262442142119. The reversal of 2262442142103 is 3012412442622.

It is not a de Polignac number, because 2262442142103 - 22 = 2262442142099 is a prime.

It is a super-2 number, since 2×22624421421032 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262442142143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165002418 + ... + 165016128.

It is an arithmetic number, because the mean of its divisors is an integer number (37786981120).

Almost surely, 22262442142103 is an apocalyptic number.

2262442142103 is a deficient number, since it is larger than the sum of its proper divisors (1365108045417).

2262442142103 is a wasteful number, since it uses less digits than its factorization.

2262442142103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14301 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 2262442142103 its reverse (3012412442622), we get a palindrome (5274854584725).

The spelling of 2262442142103 in words is "two trillion, two hundred sixty-two billion, four hundred forty-two million, one hundred forty-two thousand, one hundred three".

Divisors: 1 3 11 13 33 39 73 121 143 219 363 429 479 803 949 1437 1573 2409 2847 4719 5269 6227 8833 10439 13711 15807 18681 26499 31317 34967 41133 57959 68497 104901 114829 150821 173877 178243 205491 344487 384637 452463 454571 534729 753467 1000903 1153911 1363713 1659031 1960673 2260401 3002709 4231007 4977093 5000281 5882019 6567569 11009933 12693021 13011739 15000843 19702707 21567403 33029799 39035217 55003091 64702209 72243259 85378397 121109263 143129129 165009273 216729777 256135191 363327789 429387387 479432537 794675849 939162367 1438297611 1574420419 2384027547 2817487101 4723261257 5273757907 6232622981 10330786037 15821273721 18697868943 30992358111 58011336977 68558852791 174034010931 205676558373 754147380701 2262442142103