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10212022121120 = 255192176800937
BaseRepresentation
bin1001010010011010101111…
…1100110111001010100000
31100011021000101020222010222
42110212223330313022200
52314303210130333440
633415201014542212
72102536266550151
oct224465374671240
940137011228128
1010212022121120
113287992295806
12118b1a9667968
13590cb3085c21
1427439bb49928
1512a988a572b5
hex949abf372a0

10212022121120 has 72 divisors (see below), whose sum is σ = 25462517488884. Its totient is φ = 3869818887168.

The previous prime is 10212022121089. The next prime is 10212022121131. The reversal of 10212022121120 is 2112122021201.

10212022121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10127338793104 + 84683328016 = 3182348^2 + 291004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88342709 + ... + 88458228.

Almost surely, 210212022121120 is an apocalyptic number.

10212022121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212022121120 is an abundant number, since it is smaller than the sum of its proper divisors (15250495367764).

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

10212022121120 is a wasteful number, since it uses less digits than its factorization.

10212022121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176800990 (or 176800963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10212022121120 its reverse (2112122021201), we get a palindrome (12324144142321).

The spelling of 10212022121120 in words is "ten trillion, two hundred twelve billion, twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1444 1520 1805 2888 3040 3610 5776 7220 11552 14440 28880 57760 176800937 353601874 707203748 884004685 1414407496 1768009370 2828814992 3359217803 3536018740 5657629984 6718435606 7072037480 13436871212 14144074960 16796089015 26873742424 28288149920 33592178030 53747484848 63825138257 67184356060 107494969696 127650276514 134368712120 255300553028 268737424240 319125691285 510601106056 537474848480 638251382570 1021202212112 1276502765140 2042404424224 2553005530280 5106011060560 10212022121120