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1002200012121 = 371119608937501
BaseRepresentation
bin11101001010101111100…
…01101001010101011001
310112210212001010121202110
432211113301221111121
5112410001200341441
62044223200222533
7132256310355360
oct16452761512531
93483761117673
101002200012121
11357037863630
1214229690aa49
1373679002869
14367146c87d7
151b109986b16
hexe957c69559

1002200012121 has 64 divisors (see below), whose sum is σ = 1754013542400. Its totient is φ = 493128000000.

The previous prime is 1002200012063. The next prime is 1002200012141. The reversal of 1002200012121 is 1212100022001.

It is not a de Polignac number, because 1002200012121 - 27 = 1002200011993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002200012097 and 1002200012106.

It is not an unprimeable number, because it can be changed into a prime (1002200012141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26705871 + ... + 26743371.

It is an arithmetic number, because the mean of its divisors is an integer number (27406461600).

Almost surely, 21002200012121 is an apocalyptic number.

1002200012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002200012121 is a deficient number, since it is larger than the sum of its proper divisors (751813530279).

1002200012121 is a wasteful number, since it uses less digits than its factorization.

1002200012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43630.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002200012121 its reverse (1212100022001), we get a palindrome (2214300034122).

The spelling of 1002200012121 in words is "one trillion, two billion, two hundred million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 6089 18267 37501 42623 66979 112503 115691 127869 200937 262507 347073 412511 468853 712519 787521 809837 1237533 1272601 1406559 2137557 2429511 2887577 3817803 4987633 7837709 8662731 8908207 14962899 23513127 26724621 54863963 164591889 228343589 685030767 1598405123 2511779479 4338528191 4795215369 7535338437 13015584573 17582456353 30369697337 47723810101 52747369059 91109092011 143171430303 334066670707 1002200012121