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200021413310411 = 711211315119172461
BaseRepresentation
bin101101011110101100011101…
…010010011010111111001011
3222020012212020012112221020012
4231132230131102122333023
5202204122323301413121
61545224322503022135
760063033041412110
oct5536543522327713
9866185205487205
10200021413310411
11588076722a2400
121a5255a673a94b
13877bc276c5864
1437571338c4907
15181d038e2dc5b
hexb5eb1d49afcb

200021413310411 has 96 divisors (see below), whose sum is σ = 256508412346368. Its totient is φ = 152652931200000.

The previous prime is 200021413310393. The next prime is 200021413310429. The reversal of 200021413310411 is 114013314120002.

It is an interprime number because it is at equal distance from previous prime (200021413310393) and next prime (200021413310429).

It is not a de Polignac number, because 200021413310411 - 210 = 200021413309387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200021413310491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2760364721 + ... + 2760437181.

It is an arithmetic number, because the mean of its divisors is an integer number (2671962628608).

Almost surely, 2200021413310411 is an apocalyptic number.

200021413310411 is a deficient number, since it is larger than the sum of its proper divisors (56486999035957).

200021413310411 is a wasteful number, since it uses less digits than its factorization.

200021413310411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72945 (or 72934 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 200021413310411 its reverse (114013314120002), we get a palindrome (314034727430413).

The spelling of 200021413310411 in words is "two hundred trillion, twenty-one billion, four hundred thirteen million, three hundred ten thousand, four hundred eleven".

Divisors: 1 7 11 77 113 121 151 191 791 847 1057 1243 1337 1661 2101 8701 11627 13673 14707 17063 18271 21583 23111 28841 72461 95711 119441 127897 151081 161777 187693 201887 237413 317251 507227 797071 1313851 1661891 2064623 2220757 2611543 3259033 3489761 5579497 8188093 8767781 10941611 13840051 14452361 18280801 22813231 24428327 35849363 57316651 61374467 76591277 90069023 96880357 120357721 152240561 250945541 394342993 630483161 842504047 990759253 1065683927 1236402043 1323934931 1563925763 1674646171 2089847701 2760400951 6935314771 8654814301 9267544517 10947480341 11722523197 13600422473 14628933907 17203183393 22988324711 95202957311 120422283751 149604647203 160918272977 189235017323 236152790213 252871571821 1047232530421 1324645121261 1653069531491 1770101002747 2597680692343 18183764846401 28574487615773 200021413310411