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200101310101 = 71131475373461
BaseRepresentation
bin1011101001011011110…
…1111010111010010101
3201010111101220202211101
42322112331322322111
511234301413410401
6231531505310101
720312461033510
oct2722675727225
9633441822741
10200101310101
1177953a77a60
1232945635331
1315b3c301094
149983733d77
1553122d7101
hex2e96f7ae95

200101310101 has 128 divisors (see below), whose sum is σ = 272226189312. Its totient is φ = 142601472000.

The previous prime is 200101310063. The next prime is 200101310107. The reversal of 200101310101 is 101013101002.

It is a cyclic number.

It is not a de Polignac number, because 200101310101 - 27 = 200101309973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101310107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434059011 + ... + 434059471.

It is an arithmetic number, because the mean of its divisors is an integer number (2126767104).

Almost surely, 2200101310101 is an apocalyptic number.

It is an amenable number.

200101310101 is a deficient number, since it is larger than the sum of its proper divisors (72124879211).

200101310101 is a wasteful number, since it uses less digits than its factorization.

200101310101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 200101310101 its reverse (101013101002), we get a palindrome (301114411103).

The spelling of 200101310101 in words is "two hundred billion, one hundred one million, three hundred ten thousand, one hundred one".

Divisors: 1 7 11 31 47 53 73 77 217 329 341 371 461 511 517 583 803 1457 1643 2263 2387 2491 3227 3431 3619 3869 4081 5071 5621 10199 11501 14291 15841 16027 17437 18073 21667 24017 24433 24893 27083 27401 33653 35497 37741 42559 77221 100037 106361 112189 119939 126511 151669 157201 171031 174251 181843 191807 235571 238337 264187 268763 297913 370183 540547 671677 744527 757423 839573 849431 1043243 1100407 1148351 1169971 1272901 1319329 1581691 1668359 1783609 1881341 2000273 2591281 4701739 5301961 5637133 5946017 7302701 7388447 8038457 8189797 8331653 9235303 11071837 11475673 12485263 12631861 14001911 17398601 19619699 35598881 39459931 49032421 51719129 55291879 58321571 62008463 80329711 83829623 88423027 121790207 137337893 249192167 343226947 387043153 391587691 434059241 539356631 586807361 608210669 922125853 2598718313 2741113837 3775496417 4257474683 6454880971 18191028191 28585901443 200101310101