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10221717780 = 22335131144497
BaseRepresentation
bin10011000010100001…
…10000100100010100
3222101100222001202000
421201100300210110
5131413224432110
64410142515300
7511206111321
oct114120604424
928340861660
1010221717780
11437599094a
121b93295b30
13c6b909a21
146cd799b48
153ec5a71c0
hex261430914

10221717780 has 96 divisors (see below), whose sum is σ = 32043876480. Its totient is φ = 2704965120.

The previous prime is 10221717773. The next prime is 10221717829. The reversal of 10221717780 is 8771712201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509 + ... + 142988.

It is an arithmetic number, because the mean of its divisors is an integer number (333790380).

Almost surely, 210221717780 is an apocalyptic number.

10221717780 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 10221717780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021938240).

10221717780 is an abundant number, since it is smaller than the sum of its proper divisors (21822158700).

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

10221717780 is a wasteful number, since it uses less digits than its factorization.

10221717780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144646 (or 144638 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 10221717780 in words is "ten billion, two hundred twenty-one million, seven hundred seventeen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 131 135 180 262 270 393 524 540 655 786 1179 1310 1572 1965 2358 2620 3537 3930 4716 5895 7074 7860 11790 14148 17685 23580 35370 70740 144497 288994 433491 577988 722485 866982 1300473 1444970 1733964 2167455 2600946 2889940 3901419 4334910 5201892 6502365 7802838 8669820 13004730 15605676 18929107 19507095 26009460 37858214 39014190 56787321 75716428 78028380 94645535 113574642 170361963 189291070 227149284 283936605 340723926 378582140 511085889 567873210 681447852 851809815 1022171778 1135746420 1703619630 2044343556 2555429445 3407239260 5110858890 10221717780