Search a number
-
+
10211020001112 = 2337219344988809
BaseRepresentation
bin1001010010010111000000…
…1110000100111101011000
31100011011102112120222221010
42110211300032010331120
52314244132110013422
633414513340013520
72102502410636400
oct224456016047530
940134375528833
1010211020001112
113287518654157
12118ab69b312a0
13590b83585ac8
14274304a09800
1512a92aaa7b0c
hex94970384f58

10211020001112 has 96 divisors (see below), whose sum is σ = 29849175658800. Its totient is φ = 2902317981696.

The previous prime is 10211020001093. The next prime is 10211020001153. The reversal of 10211020001112 is 21110002011201.

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

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 23 ways as a sum of consecutive naturals, for example, 22267437 + ... + 22721372.

Almost surely, 210211020001112 is an apocalyptic number.

10211020001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211020001112 is an abundant number, since it is smaller than the sum of its proper divisors (19638155657688).

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

10211020001112 is a wasteful number, since it uses less digits than its factorization.

10211020001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44989025 (or 44989014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211020001112 its reverse (21110002011201), we get a palindrome (31321022012313).

The spelling of 10211020001112 in words is "ten trillion, two hundred eleven billion, twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 193 196 294 386 392 579 588 772 1158 1176 1351 1544 2316 2702 4053 4632 5404 8106 9457 10808 16212 18914 28371 32424 37828 56742 75656 113484 226968 44988809 89977618 134966427 179955236 269932854 314921663 359910472 539865708 629843326 944764989 1079731416 1259686652 1889529978 2204451641 2519373304 3779059956 4408903282 6613354923 7558119912 8682840137 8817806564 13226709846 17365680274 17635613128 26048520411 26453419692 34731360548 52097040822 52906839384 60779880959 69462721096 104194081644 121559761918 182339642877 208388163288 243119523836 364679285754 425459166713 486239047672 729358571508 850918333426 1276377500139 1458717143016 1701836666852 2552755000278 3403673333704 5105510000556 10211020001112