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10212211020220 = 22511431393377479
BaseRepresentation
bin1001010010011011011100…
…1101011101000110111100
31100011021111112201000222221
42110212313031131012330
52314304102010121340
633415231443415124
72102544052301326
oct224466715350674
940137445630887
1010212211020220
113287a79986470
12118b2409844a4
13591013254541
142743b8c7c616
1512a99a41c44a
hex949b735d1bc

10212211020220 has 96 divisors (see below), whose sum is σ = 23941349752320. Its totient is φ = 3626862946560.

The previous prime is 10212211020181. The next prime is 10212211020259. The reversal of 10212211020220 is 2202011221201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10212211020181) and next prime (10212211020259).

It is a junction number, because it is equal to n+sod(n) for n = 10212211020194 and 10212211020203.

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, 131767441 + ... + 131844919.

It is an arithmetic number, because the mean of its divisors is an integer number (249389059920).

Almost surely, 210212211020220 is an apocalyptic number.

10212211020220 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 10212211020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970674876160).

10212211020220 is an abundant number, since it is smaller than the sum of its proper divisors (13729138732100).

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

10212211020220 is a wasteful number, since it uses less digits than its factorization.

10212211020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91475 (or 91473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10212211020220 its reverse (2202011221201), we get a palindrome (12414222241421).

The spelling of 10212211020220 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 13933 27866 55732 69665 77479 139330 153263 154958 278660 306526 309916 387395 599119 613052 766315 774790 852269 1198238 1532630 1549580 1704538 2396476 2995595 3065260 3331597 3409076 4261345 5991190 6590309 6663194 8522690 11982380 13180618 13326388 16657985 17045380 26361236 32951545 33315970 36647567 65903090 66631940 73295134 131806180 146590268 183237835 366475670 732951340 1079514907 2159029814 4318059628 5397574535 10795149070 11874663977 21590298140 23749327954 46419141001 47498655908 59373319885 92838282002 118746639770 185676564004 232095705005 237493279540 464191410010 510610551011 928382820020 1021221102022 2042442204044 2553052755055 5106105510110 10212211020220