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10202200000212 = 223111915126939489
BaseRepresentation
bin1001010001110110001010…
…0000011100011011010100
31100010022122212012112021010
42110131202200130123110
52314123101200001322
633410454224452220
72102041012111143
oct224354240343324
940108585175233
1010202200000212
113283801a24a10
12118930817a070
135900a91a916c
14273b0948b75a
1512a5b15d420c
hex9476281c6d4

10202200000212 has 96 divisors (see below), whose sum is σ = 27517072665600. Its totient is φ = 2909464704000.

The previous prime is 10202200000211. The next prime is 10202200000229. The reversal of 10202200000212 is 21200000220201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202200000211) by changing a digit.

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, 13091037 + ... + 13848452.

It is an arithmetic number, because the mean of its divisors is an integer number (286636173600).

Almost surely, 210202200000212 is an apocalyptic number.

10202200000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202200000212 is an abundant number, since it is smaller than the sum of its proper divisors (17314872665388).

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

10202200000212 is a wasteful number, since it uses less digits than its factorization.

10202200000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26939677 (or 26939675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202200000212 its reverse (21200000220201), we get a palindrome (31402200220413).

The spelling of 10202200000212 in words is "ten trillion, two hundred two billion, two hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 151 209 228 302 418 453 604 627 836 906 1254 1661 1812 2508 2869 3322 4983 5738 6644 8607 9966 11476 17214 19932 31559 34428 63118 94677 126236 189354 378708 26939489 53878978 80818467 107757956 161636934 296334379 323273868 511850291 592668758 889003137 1023700582 1185337516 1535550873 1778006274 2047401164 3071101746 3556012548 4067862839 5630353201 6142203492 8135725678 11260706402 12203588517 16271451356 16891059603 22521412804 24407177034 33782119206 44746491229 48814354068 67564238412 77289393941 89492982458 134239473687 154578787882 178985964916 231868181823 268478947374 309157575764 463736363646 536957894748 850183333351 927472727292 1700366666702 2550550000053 3400733333404 5101100000106 10202200000212