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10212202202004 = 22321131831883529
BaseRepresentation
bin1001010010011011011010…
…1011110100001110010100
31100011021110221010000200100
42110212312223310032110
52314304042230431004
633415230530414100
72102543614323255
oct224466653641624
940137427100610
1010212202202004
113287a74a03190
12118b239a31330
1359101148786a
142743b7a24b2c
1512a999779739
hex949b6af4394

10212202202004 has 72 divisors (see below), whose sum is σ = 29069338072320. Its totient is φ = 2994780700800.

The previous prime is 10212202201987. The next prime is 10212202202053. The reversal of 10212202202004 is 40020220221201.

10212202202004 is a `hidden beast` number, since 1 + 0 + 21 + 220 + 220 + 200 + 4 = 666.

10212202202004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415929489 + ... + 415954040.

It is an arithmetic number, because the mean of its divisors is an integer number (403740806560).

Almost surely, 210212202202004 is an apocalyptic number.

It is an amenable number.

10212202202004 is an abundant number, since it is smaller than the sum of its proper divisors (18857135870316).

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

10212202202004 is a wasteful number, since it uses less digits than its factorization.

10212202202004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831883581 (or 831883576 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10212202202004 its reverse (40020220221201), we get a palindrome (50232422423205).

The spelling of 10212202202004 in words is "ten trillion, two hundred twelve billion, two hundred two million, two hundred two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 831883529 1663767058 2495650587 3327534116 4991301174 7486951761 9150718819 9982602348 14973903522 18301437638 25788389399 27452156457 29947807044 36602875276 51576778798 54904312914 77365168197 82356469371 103153557596 109808625828 154730336394 164712938742 232095504591 283672283389 309460672788 329425877484 464191009182 567344566778 851016850167 928382018364 1134689133556 1702033700334 2553050550501 3404067400668 5106101101002 10212202202004