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211421422002 = 23725343131481
BaseRepresentation
bin1100010011100110110…
…0101110000110110010
3202012201022201001001010
43010321230232012302
511430442341001002
6241043050451350
721163135302300
oct3047154560662
9665638631033
10211421422002
118173297663a
1234b84733b56
1316c2464884b
14a338d31270
15577600946c
hex3139b2e1b2

211421422002 has 96 divisors (see below), whose sum is σ = 502337873664. Its totient is φ = 59126995200.

The previous prime is 211421421947. The next prime is 211421422007. The reversal of 211421422002 is 200224124112.

211421422002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 211421422002.

It is not an unprimeable number, because it can be changed into a prime (211421422007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6700102 + ... + 6731582.

It is an arithmetic number, because the mean of its divisors is an integer number (5232686184).

Almost surely, 2211421422002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211421422002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251168936832).

211421422002 is an abundant number, since it is smaller than the sum of its proper divisors (290916451662).

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

211421422002 is a wasteful number, since it uses less digits than its factorization.

211421422002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31984 (or 31977 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211421422002 its reverse (200224124112), we get a palindrome (411645546114).

The spelling of 211421422002 in words is "two hundred eleven billion, four hundred twenty-one million, four hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 431 742 862 1113 1293 2226 2586 2597 3017 5194 6034 7791 9051 15582 18102 21119 22843 31481 42238 45686 62962 63357 68529 94443 126714 137058 159901 188886 220367 319802 440734 479703 661101 959406 1119307 1322202 1542569 1668493 2238614 3085138 3336986 3357921 4627707 5005479 6715842 9255414 10010958 11679451 13568311 23358902 27136622 35038353 40704933 70076706 81409866 81756157 94978177 163512314 189956354 245268471 284934531 490536942 569869062 664847239 719120483 1329694478 1438240966 1994541717 2157361449 3989083434 4314722898 5033843381 10067686762 15101530143 30203060286 35236903667 70473807334 105710711001 211421422002