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10221044332240 = 245729994163311
BaseRepresentation
bin1001010010111100010110…
…1101110111011011010000
31100012010022011010210002101
42110233011231313123100
52314430144322112430
633423252152130144
72103306002226520
oct224570555673320
940163264123071
1010221044332240
1132907a2077535
121190aa7096954
13591ac0311ba1
142749b60a3680
1512ad15b6edca
hex94bc5b776d0

10221044332240 has 160 divisors (see below), whose sum is σ = 28098554434560. Its totient is φ = 3383124326400.

The previous prime is 10221044332229. The next prime is 10221044332273. The reversal of 10221044332240 is 4223344012201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10221044332199 and 10221044332208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161410185 + ... + 161473495.

It is an arithmetic number, because the mean of its divisors is an integer number (175615965216).

Almost surely, 210221044332240 is an apocalyptic number.

10221044332240 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 10221044332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049277217280).

10221044332240 is an abundant number, since it is smaller than the sum of its proper divisors (17877510102320).

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

10221044332240 is a wasteful number, since it uses less digits than its factorization.

10221044332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73301 (or 73295 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10221044332240 its reverse (4223344012201), we get a palindrome (14444388344441).

The spelling of 10221044332240 in words is "ten trillion, two hundred twenty-one billion, forty-four million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 9941 16240 19882 39764 49705 63311 69587 79528 99410 126622 139174 159056 198820 253244 278348 288289 316555 347935 397640 443177 506488 556696 576578 633110 695870 795280 886354 1012976 1113392 1153156 1266220 1391740 1441445 1772708 1836019 2018023 2215885 2306312 2532440 2783480 2882890 3545416 3672038 4036046 4431770 4612624 5064880 5566960 5765780 7090832 7344076 8072092 8863540 9180095 10090115 11531560 12852133 14688152 16144184 17727080 18360190 20180230 23063120 25704266 29376304 32288368 35454160 36720380 40360460 51408532 64260665 73440760 80720920 102817064 128521330 146881520 161441840 205634128 257042660 514085320 629374651 1028170640 1258749302 2517498604 3146873255 4405622557 5034997208 6293746510 8811245114 10069994416 12587493020 17622490228 18251864879 22028112785 25174986040 35244980456 36503729758 44056225570 50349972080 70489960912 73007459516 88112451140 91259324395 127763054153 146014919032 176224902280 182518648790 255526108306 292029838064 352449804560 365037297580 511052216612 638815270765 730074595160 1022104433224 1277630541530 1460149190320 2044208866448 2555261083060 5110522166120 10221044332240