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11100143431212 = 223114109579629
BaseRepresentation
bin1010000110000111010000…
…0110110010111000101100
31110022011102002012002012020
42201201310012302320230
52423331043204244322
635335200244510140
72223646621252533
oct241416406627054
943264362162166
1011100143431212
11359a5a9650000
1212b33476ab350
1362697b872824
142a536d69131a
15143b182c705c
hexa18741b2e2c

11100143431212 has 120 divisors (see below), whose sum is σ = 28751618742000. Its totient is φ = 3332814629760.

The previous prime is 11100143431207. The next prime is 11100143431249. The reversal of 11100143431212 is 21213434100111.

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 39 ways as a sum of consecutive naturals, for example, 18860614 + ... + 19440242.

It is an arithmetic number, because the mean of its divisors is an integer number (239596822850).

Almost surely, 211100143431212 is an apocalyptic number.

11100143431212 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 11100143431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375809371000).

11100143431212 is an abundant number, since it is smaller than the sum of its proper divisors (17651475310788).

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

11100143431212 is a wasteful number, since it uses less digits than its factorization.

11100143431212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579789 (or 579754 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11100143431212 its reverse (21213434100111), we get a palindrome (32313577531323).

The spelling of 11100143431212 in words is "eleven trillion, one hundred billion, one hundred forty-three million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 121 132 218 242 327 363 436 484 654 726 1199 1308 1331 1452 2398 2662 3597 3993 4796 5324 7194 7986 13189 14388 14641 15972 26378 29282 39567 43923 52756 58564 79134 87846 145079 158268 175692 290158 435237 579629 580316 870474 1159258 1595869 1738887 1740948 2318516 3191738 3477774 4787607 6375919 6383476 6955548 9575214 12751838 19127757 19150428 25503676 38255514 63179561 70135109 76511028 126359122 140270218 189538683 210405327 252718244 280540436 379077366 420810654 694975171 758154732 771486199 841621308 1389950342 1542972398 2084925513 2314458597 2779900684 3085944796 4169851026 4628917194 7644726881 8339702052 8486348189 9257834388 15289453762 16972696378 22934180643 25459044567 30578907524 33945392756 45868361286 50918089134 84091995691 91736722572 101836178268 168183991382 252275987073 336367982764 504551974146 925011952601 1009103948292 1850023905202 2775035857803 3700047810404 5550071715606 11100143431212