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10220221210120 = 2351969119461157
BaseRepresentation
bin1001010010111001010010…
…1001111001111000001000
31100012001011210021211210221
42110232110221321320020
52314422003112210440
633423034345515424
72103246415631545
oct224562451717010
940161153254727
1010220221210120
11329040a483719
1211908b74a2b74
135919bb92478c
14274938a39bcc
1512acb877bd4a
hex94b94a79e08

10220221210120 has 64 divisors (see below), whose sum is σ = 24240818404800. Its totient is φ = 3867320920320.

The previous prime is 10220221210117. The next prime is 10220221210307. The reversal of 10220221210120 is 2101212202201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10220221210094 and 10220221210103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9205419 + ... + 10255738.

It is an arithmetic number, because the mean of its divisors is an integer number (378762787575).

Almost surely, 210220221210120 is an apocalyptic number.

10220221210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220221210120 is an abundant number, since it is smaller than the sum of its proper divisors (14020597194680).

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

10220221210120 is a wasteful number, since it uses less digits than its factorization.

10220221210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19461878 (or 19461874 counting only the distinct ones).

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

Adding to 10220221210120 its reverse (2101212202201), we get a palindrome (12321433412321).

The spelling of 10220221210120 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 691 760 1382 2764 3455 5528 6910 13129 13820 26258 27640 52516 65645 105032 131290 262580 525160 19461157 38922314 77844628 97305785 155689256 194611570 369761983 389223140 739523966 778446280 1479047932 1848809915 2958095864 3697619830 7395239660 13447659487 14790479320 26895318974 53790637948 67238297435 107581275896 134476594870 255505530253 268953189740 511011060506 537906379480 1022022121012 1277527651265 2044044242024 2555055302530 5110110605060 10220221210120