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1002200140305 = 3357133482717
BaseRepresentation
bin11101001010101111100…
…10001000101000010001
310112210212001101010121000
432211113302020220101
5112410001213442210
62044223203052213
7132256311431160
oct16452762105021
93483761333530
101002200140305
11357037940971
12142296971069
1373679049000
143671471d3d7
151b1099aeac0
hexe957c88a11

1002200140305 has 128 divisors (see below), whose sum is σ = 2205828172800. Its totient is φ = 422905556736.

The previous prime is 1002200140241. The next prime is 1002200140309. The reversal of 1002200140305 is 5030410022001.

1002200140305 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 0 + 140 + 305 = 666.

It is not a de Polignac number, because 1002200140305 - 26 = 1002200140241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002200140309) 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, 1834807 + ... + 2317523.

It is an arithmetic number, because the mean of its divisors is an integer number (17233032600).

Almost surely, 21002200140305 is an apocalyptic number.

1002200140305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002200140305 is an abundant number, since it is smaller than the sum of its proper divisors (1203628032495).

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

1002200140305 is an equidigital number, since it uses as much as digits as its factorization.

1002200140305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482777 (or 482745 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 1002200140305 its reverse (5030410022001), we get a palindrome (6032610162306).

The spelling of 1002200140305 in words is "one trillion, two billion, two hundred million, one hundred forty thousand, three hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 169 189 195 273 315 351 455 507 585 819 845 945 1183 1365 1521 1755 2197 2457 2535 3549 4095 4563 5915 6591 7605 10647 10985 12285 15379 17745 19773 22815 31941 32955 46137 53235 59319 76895 98865 138411 159705 230685 296595 415233 482717 692055 1448151 2076165 2413585 3379019 4344453 6275321 7240755 10137057 13033359 16895095 18825963 21722265 30411171 31376605 43927247 50685285 56477889 65166795 81579173 91233513 94129815 131781741 152055855 169433667 219636235 244737519 282389445 395345223 407895865 456167565 571054211 658908705 734212557 847168335 1060529249 1186035669 1223687595 1713162633 1976726115 2202637671 2855271055 3181587747 3671062785 5139487899 5302646245 5930178345 7423704743 8565813165 9544763241 11013188355 15418463697 15907938735 22271114229 25697439495 28634289723 37118523715 47723816205 66813342687 77092318485 111355571145 143171448615 200440028061 334066713435 1002200140305