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10000212011220 = 22351272339561079
BaseRepresentation
bin1001000110000101101100…
…0101011010100011010100
31022102000021222011112112210
42101201123011122203110
52302320413233324340
633134011201113420
72051330401405644
oct221413305324324
938360258145483
1010000212011220
11320607aa80202
121156136928870
13577029059952
1426802735a524
151251dd871180
hex9185b15a8d4

10000212011220 has 96 divisors (see below), whose sum is σ = 28233186508800. Its totient is φ = 2644589533824.

The previous prime is 10000212011201. The next prime is 10000212011233. The reversal of 10000212011220 is 2211021200001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000212011196 and 10000212011205.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17542641 + ... + 18103719.

It is an arithmetic number, because the mean of its divisors is an integer number (294095692800).

Almost surely, 210000212011220 is an apocalyptic number.

10000212011220 is a gapful number since it is divisible by the number (10) 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 10000212011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116593254400).

10000212011220 is an abundant number, since it is smaller than the sum of its proper divisors (18232974497580).

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

10000212011220 is a wasteful number, since it uses less digits than its factorization.

10000212011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563557 (or 563555 counting only the distinct ones).

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

Adding to 10000212011220 its reverse (2211021200001), we get a palindrome (12211233211221).

The spelling of 10000212011220 in words is "ten trillion, two hundred twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2339 2540 3810 4678 7017 7620 9356 11695 14034 23390 28068 35085 46780 70170 140340 297053 561079 594106 891159 1122158 1188212 1485265 1683237 1782318 2244316 2805395 2970530 3366474 3564636 4455795 5610790 5941060 6732948 8416185 8911590 11221580 16832370 17823180 33664740 71257033 142514066 213771099 285028132 356285165 427542198 712570330 855084396 1068855495 1312363781 1425140660 2137710990 2624727562 3937091343 4275421980 5249455124 6561818905 7874182686 13123637810 15748365372 19685456715 26247275620 39370913430 78741826860 166670200187 333340400374 500010600561 666680800748 833351000935 1000021201122 1666702001870 2000042402244 2500053002805 3333404003740 5000106005610 10000212011220