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1002210022002 = 2371743271112041
BaseRepresentation
bin11101001010110000101…
…11110101001001110010
310112210212201222011201210
432211120113311021302
5112410011231201002
62044224154540550
7132256461425610
oct16453027651162
93483781864653
101002210022002
11357042480162
1214229a137756
137367b0c8a77
1436715b726b0
151b10a7b296c
hexe9585f5272

1002210022002 has 128 divisors (see below), whose sum is σ = 2483045756928. Its totient is φ = 263115417600.

The previous prime is 1002210021997. The next prime is 1002210022027. The reversal of 1002210022002 is 2002200122001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83227102 + ... + 83239142.

It is an arithmetic number, because the mean of its divisors is an integer number (19398794976).

Almost surely, 21002210022002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002210022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241522878464).

1002210022002 is an abundant number, since it is smaller than the sum of its proper divisors (1480835734926).

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

1002210022002 is a wasteful number, since it uses less digits than its factorization.

1002210022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14824.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002210022002 its reverse (2002200122001), we get a palindrome (3004410144003).

Subtracting 1002210022002 from its reverse (2002200122001), we obtain a palindrome (999990099999).

The spelling of 1002210022002 in words is "one trillion, two billion, two hundred ten million, twenty-two thousand, two".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 102 119 129 238 258 301 357 602 714 731 903 1462 1806 2193 2711 4386 5117 5422 8133 10234 12041 15351 16266 18977 24082 30702 36123 37954 46087 56931 72246 84287 92174 113862 116573 138261 168574 204697 233146 252861 276522 322609 349719 409394 505722 517763 614091 645218 699438 816011 967827 1035526 1228182 1432879 1553289 1632022 1935654 1981741 2448033 2865758 3106578 3624341 3963482 4298637 4896066 5945223 7248682 8597274 8801971 10873023 11890446 13872187 17603942 21746046 26405913 27744374 32643151 41616561 52811826 61613797 65286302 83233122 97929453 123227594 184841391 195858906 228502057 369682782 457004114 554933567 685506171 1109867134 1371012342 1403655493 1664800701 2807310986 3329601402 3884534969 4210966479 7769069938 8421932958 9825588451 11653604907 19651176902 23307209814 23862143381 29476765353 47724286762 58953530706 71586430143 143172860286 167035003667 334070007334 501105011001 1002210022002