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10221210021220 = 22511611017540991
BaseRepresentation
bin1001010010111100111110…
…0101111010110101100100
31100012010201200220122122021
42110233033211322311210
52314431014231134340
633423320431312524
72103313053452002
oct224571745726544
940163650818567
1010221210021220
113290877655080
121190b3267b744
13591b18744bc3
142749d00b3a72
1512ad2549ce4a
hex94bcf97ad64

10221210021220 has 96 divisors (see below), whose sum is σ = 24035373637632. Its totient is φ = 3619675200000.

The previous prime is 10221210021179. The next prime is 10221210021229. The reversal of 10221210021220 is 2212001212201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10221210021194 and 10221210021203.

It is not an unprimeable number, because it can be changed into a prime (10221210021229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2415076 + ... + 5125915.

It is an arithmetic number, because the mean of its divisors is an integer number (250368475392).

Almost surely, 210221210021220 is an apocalyptic number.

10221210021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221210021220 is an abundant number, since it is smaller than the sum of its proper divisors (13814163616412).

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

10221210021220 is a wasteful number, since it uses less digits than its factorization.

10221210021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541173 (or 7541171 counting only the distinct ones).

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

Adding to 10221210021220 its reverse (2212001212201), we get a palindrome (12433211233421).

The spelling of 10221210021220 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 101 110 122 202 220 244 305 404 505 610 671 1010 1111 1220 1342 2020 2222 2684 3355 4444 5555 6161 6710 11110 12322 13420 22220 24644 30805 61610 67771 123220 135542 271084 338855 677710 1355420 7540991 15081982 30163964 37704955 75409910 82950901 150819820 165901802 331803604 414754505 460000451 761640091 829509010 920000902 1523280182 1659018020 1840001804 2300002255 3046560364 3808200455 4600004510 5060004961 7616400910 8378041001 9200009020 10120009922 15232801820 16756082002 20240019844 25300024805 33512164004 41890205005 46460045551 50600049610 83780410010 92920091102 101200099220 167560820020 185840182204 232300227755 464600455510 511060501061 929200911020 1022121002122 2044242004244 2555302505305 5110605010610 10221210021220