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10212020010200 = 2352173331891677
BaseRepresentation
bin1001010010011010101111…
…0100110011110011011000
31100011021000020021201111202
42110212223310303303120
52314303204110311300
633415200501413332
72102536242605651
oct224465364636330
940137006251452
1010212020010200
113287991083848
12118b1a8a0a248
13590cb27c7168
1427439b75a528
1512a98878bad5
hex949abd33cd8

10212020010200 has 96 divisors (see below), whose sum is σ = 23952361437360. Its totient is φ = 4048922380800.

The previous prime is 10212020010193. The next prime is 10212020010223. The reversal of 10212020010200 is 201002021201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11006762 + ... + 11898438.

Almost surely, 210212020010200 is an apocalyptic number.

10212020010200 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 10212020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976180718680).

10212020010200 is an abundant number, since it is smaller than the sum of its proper divisors (13740341427160).

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

10212020010200 is a wasteful number, since it uses less digits than its factorization.

10212020010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892197 (or 892188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10212020010200 its reverse (201002021201), we get a palindrome (10413022031401).

The spelling of 10212020010200 in words is "ten trillion, two hundred twelve billion, twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 331 346 662 692 865 1324 1384 1655 1730 2648 3310 3460 4325 6620 6920 8275 8650 13240 16550 17300 33100 34600 57263 66200 114526 229052 286315 458104 572630 891677 1145260 1431575 1783354 2290520 2863150 3566708 4458385 5726300 7133416 8916770 11452600 17833540 22291925 35667080 44583850 89167700 154260121 178335400 295145087 308520242 590290174 617040484 771300605 1180580348 1234080968 1475725435 1542601210 2361160696 2951450870 3085202420 3856503025 5902901740 6170404840 7378627175 7713006050 11805803480 14757254350 15426012100 29514508700 30852024200 51060100051 59029017400 102120200102 204240400204 255300500255 408480800408 510601000510 1021202001020 1276502501275 2042404002040 2553005002550 5106010005100 10212020010200