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10220202021200 = 2452532001124091
BaseRepresentation
bin1001010010111001001110…
…0000101101000101010000
31100012001010110011221120012
42110232103200231011100
52314421433204134300
633423032422334052
72103246063551303
oct224562340550520
940161113157505
1010220202021200
1132903aa667806
1211908b0b8a328
135919b79665a2
14274936282b3a
1512acb6c3b435
hex94b9382d150

10220202021200 has 120 divisors (see below), whose sum is σ = 25019607722976. Its totient is φ = 4010580288000.

The previous prime is 10220202021199. The next prime is 10220202021209. The reversal of 10220202021200 is 212020202201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220202021209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424221155 + ... + 424245245.

Almost surely, 210220202021200 is an apocalyptic number.

10220202021200 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 10220202021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509803861488).

10220202021200 is an abundant number, since it is smaller than the sum of its proper divisors (14799405701776).

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

10220202021200 is a wasteful number, since it uses less digits than its factorization.

10220202021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44173 (or 44162 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220202021200 its reverse (212020202201), we get a palindrome (10432222223401).

The spelling of 10220202021200 in words is "ten trillion, two hundred twenty billion, two hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 20011 21200 24091 40022 48182 80044 96364 100055 120455 160088 192728 200110 240910 320176 385456 400220 481820 500275 602275 800440 963640 1000550 1060583 1204550 1276823 1600880 1927280 2001100 2121166 2409100 2553646 4002200 4242332 4818200 5107292 5302915 6384115 8004400 8484664 9636400 10214584 10605830 12768230 16969328 20429168 21211660 25536460 26514575 31920575 42423320 51072920 53029150 63841150 84846640 102145840 106058300 127682300 212116600 255364600 424233200 482085001 510729200 964170002 1928340004 2410425005 3856680008 4820850010 7713360016 9641700020 12052125025 19283400040 24104250050 25550505053 38566800080 48208500100 51101010106 96417000200 102202020212 127752525265 192834000400 204404040424 255505050530 408808080848 511010101060 638762626325 1022020202120 1277525252650 2044040404240 2555050505300 5110101010600 10220202021200