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10211010220020 = 22351391993614321
BaseRepresentation
bin1001010010010110111110…
…1000110000111111110100
31100011011101212012001210110
42110211233220300333310
52314244122104020040
633414512350223020
72102502231541161
oct224455750607764
940134355161713
1010211010220020
113287513083505
12118ab667b4a70
13590b8153ca8c
142743035c1068
1512a929cc4980
hex9496fa30ff4

10211010220020 has 96 divisors (see below), whose sum is σ = 28811013759360. Its totient is φ = 2701985771520.

The previous prime is 10211010220009. The next prime is 10211010220109. The reversal of 10211010220020 is 2002201011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10211010219978 and 10211010220005.

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, 16314460 + ... + 16928780.

It is an arithmetic number, because the mean of its divisors is an integer number (300114726660).

Almost surely, 210211010220020 is an apocalyptic number.

10211010220020 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 10211010220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405506879680).

10211010220020 is an abundant number, since it is smaller than the sum of its proper divisors (18600003539340).

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

10211010220020 is a wasteful number, since it uses less digits than its factorization.

10211010220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616465 (or 616463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211010220020 its reverse (2002201011201), we get a palindrome (12213211231221).

The spelling of 10211010220020 in words is "ten trillion, two hundred eleven billion, ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 1993 2085 2780 3986 4170 5979 7972 8340 9965 11958 19930 23916 29895 39860 59790 119580 277027 554054 614321 831081 1108108 1228642 1385135 1662162 1842963 2457284 2770270 3071605 3324324 3685926 4155405 5540540 6143210 7371852 8310810 9214815 12286420 16621620 18429630 36859260 85390619 170781238 256171857 341562476 426953095 512343714 853906190 1024687428 1224341753 1280859285 1707812380 2448683506 2561718570 3673025259 4897367012 5123437140 6121708765 7346050518 12243417530 14692101036 18365126295 24486835060 36730252590 73460505180 170183503667 340367007334 510550511001 680734014668 850917518335 1021101022002 1701835036670 2042202044004 2552752555005 3403670073340 5105505110010 10211010220020