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200022000102 = 23317618874027
BaseRepresentation
bin1011101001001000111…
…1011000000111100110
3201010021212200101222000
42322102033120013212
511234121113000402
6231515553350130
720310505643151
oct2722217300746
9633255611860
10200022000102
1177913228201
1232922b68346
1315b28a52aa2
149976daac98
15530a36cc1c
hex2e923d81e6

200022000102 has 128 divisors (see below), whose sum is σ = 479013626880. Its totient is φ = 61638382080.

The previous prime is 200022000049. The next prime is 200022000137. The reversal of 200022000102 is 201000220002.

200022000102 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 (9).

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 63 ways as a sum of consecutive naturals, for example, 49668213 + ... + 49672239.

It is an arithmetic number, because the mean of its divisors is an integer number (3742293960).

Almost surely, 2200022000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200022000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239506813440).

200022000102 is an abundant number, since it is smaller than the sum of its proper divisors (278991626778).

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

200022000102 is a wasteful number, since it uses less digits than its factorization.

200022000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200022000102 its reverse (201000220002), we get a palindrome (401022220104).

The spelling of 200022000102 in words is "two hundred billion, twenty-two million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 102 122 153 183 306 366 459 549 887 918 1037 1098 1647 1774 2074 2661 3111 3294 4027 5322 6222 7983 8054 9333 12081 15079 15966 18666 23949 24162 27999 30158 36243 45237 47898 54107 55998 68459 72486 90474 108214 108729 135711 136918 162321 205377 217458 245647 271422 324642 407133 410754 486963 491294 616131 736941 814266 919819 973926 1232262 1460889 1473882 1839638 1848393 2210823 2759457 2921778 3571949 3696786 4175999 4421646 5518914 6632469 7143898 8278371 8351998 10715847 12527997 13264938 16556742 21431694 24835113 25055994 32147541 37583991 49670226 60723133 64295082 75167982 96442623 112751973 121446266 182169399 192885246 217888889 225503946 364338798 435777778 546508197 653666667 1093016394 1307333334 1639524591 1961000001 3279049182 3704111113 3922000002 5883000003 7408222226 11112333339 11766000006 22224666678 33337000017 66674000034 100011000051 200022000102