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1111000200012 = 223517918135279
BaseRepresentation
bin10000001010101100110…
…001011011001101001100
310221012200111212211100000
4100022230301123031030
5121200312022400022
62210215250004300
7143160422612343
oct20125461331514
93835614784300
101111000200012
1139919971608a
1215b39b876690
13809c7a72971
143bab63cab5a
151dd7657e6ac
hex102acc5b34c

1111000200012 has 144 divisors (see below), whose sum is σ = 2944909094400. Its totient is φ = 366219506880.

The previous prime is 1111000199987. The next prime is 1111000200059. The reversal of 1111000200012 is 2100020001111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1111000199967 and 1111000200003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31474189 + ... + 31509467.

It is an arithmetic number, because the mean of its divisors is an integer number (20450757600).

Almost surely, 21111000200012 is an apocalyptic number.

1111000200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111000200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472454547200).

1111000200012 is an abundant number, since it is smaller than the sum of its proper divisors (1833908894388).

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

1111000200012 is a wasteful number, since it uses less digits than its factorization.

1111000200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35658 (or 35644 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1111000200012 its reverse (2100020001111), we get a palindrome (3211020201123).

The spelling of 1111000200012 in words is "one trillion, one hundred eleven billion, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 179 181 243 324 358 362 486 537 543 716 724 972 1074 1086 1611 1629 2148 2172 3222 3258 4833 4887 6444 6516 9666 9774 14499 14661 19332 19548 28998 29322 32399 35279 43497 43983 57996 58644 64798 70558 86994 87966 97197 105837 129596 141116 173988 175932 194394 211674 291591 317511 388788 423348 583182 635022 874773 952533 1166364 1270044 1749546 1905066 2624319 2857599 3499092 3810132 5248638 5715198 6314941 6385499 7872957 8572797 10497276 11430396 12629882 12770998 15745914 17145594 18944823 19156497 25259764 25541996 31491828 34291188 37889646 38312994 56834469 57469491 75779292 76625988 113668938 114938982 170503407 172408473 227337876 229877964 341006814 344816946 511510221 517225419 682013628 689633892 1023020442 1034450838 1143004321 1534530663 1551676257 2046040884 2068901676 2286008642 3069061326 3103352514 3429012963 4572017284 6138122652 6206705028 6858025926 10287038889 13716051852 20574077778 30861116667 41148155556 61722233334 92583350001 123444466668 185166700002 277750050003 370333400004 555500100006 1111000200012