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213122202310104 = 233107191434510533
BaseRepresentation
bin110000011101010101100001…
…001010011001010111011000
31000221121021122201100010212020
4300131111201022121113120
5210413243232242410404
62033134553233414440
762614366564511613
oct6035254112312730
91027537581303766
10213122202310104
11619a868913535a
121baa061640a420
1391bc450491619
143a8b25367117a
151998be6c02ed9
hexc1d5612995d8

213122202310104 has 64 divisors (see below), whose sum is σ = 540600625981440. Its totient is φ = 70008336915840.

The previous prime is 213122202310093. The next prime is 213122202310153. The reversal of 213122202310104 is 401013202221312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216764779 + ... + 217745754.

It is an arithmetic number, because the mean of its divisors is an integer number (8446884780960).

Almost surely, 2213122202310104 is an apocalyptic number.

213122202310104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213122202310104 is an abundant number, since it is smaller than the sum of its proper divisors (327478423671336).

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

213122202310104 is a wasteful number, since it uses less digits than its factorization.

213122202310104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434510840 (or 434510836 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 213122202310104 its reverse (401013202221312), we get a palindrome (614135404531416).

The spelling of 213122202310104 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two hundred two million, three hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 107 191 214 321 382 428 573 642 764 856 1146 1284 1528 2292 2568 4584 20437 40874 61311 81748 122622 163496 245244 490488 434510533 869021066 1303531599 1738042132 2607063198 3476084264 5214126396 10428252792 46492627031 82991511803 92985254062 139477881093 165983023606 185970508124 248974535409 278955762186 331966047212 371941016248 497949070818 557911524372 663932094424 995898141636 1115823048744 1991796283272 8880091762921 17760183525842 26640275288763 35520367051684 53280550577526 71040734103368 106561101155052 213122202310104