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10202021101220 = 22513671091536801
BaseRepresentation
bin1001010001110101011111…
…0101111111111010100100
31100010022012101120111222112
42110131113311333322210
52314122214400214340
633410424354220152
72102033410356554
oct224352765777244
940108171514875
1010202021101220
11328371aa44503
121189278284658
1359007b0cc480
14273acd7dd164
1512a5a0a47065
hex94757d7fea4

10202021101220 has 96 divisors (see below), whose sum is σ = 23438132355456. Its totient is φ = 3707269632000.

The previous prime is 10202021101211. The next prime is 10202021101231. The reversal of 10202021101220 is 2210112020201.

It is a junction number, because it is equal to n+sod(n) for n = 10202021101195 and 10202021101204.

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, 18736820 + ... + 19273620.

It is an arithmetic number, because the mean of its divisors is an integer number (244147212036).

Almost surely, 210202021101220 is an apocalyptic number.

10202021101220 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 10202021101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719066177728).

10202021101220 is an abundant number, since it is smaller than the sum of its proper divisors (13236111254236).

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

10202021101220 is a wasteful number, since it uses less digits than its factorization.

10202021101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537981 (or 537979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202021101220 its reverse (2210112020201), we get a palindrome (12412133121421).

The spelling of 10202021101220 in words is "ten trillion, two hundred two billion, twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1091 1340 1742 2182 3484 4355 4364 5455 8710 10910 14183 17420 21820 28366 56732 70915 73097 141830 146194 283660 292388 365485 536801 730970 950261 1073602 1461940 1900522 2147204 2684005 3801044 4751305 5368010 6978413 9502610 10736020 13956826 19005220 27913652 34892065 35965667 69784130 71931334 139568260 143862668 179828335 359656670 467553671 585649891 719313340 935107342 1171299782 1870214684 2337768355 2342599564 2928249455 4675536710 5856498910 7613448583 9351073420 11712997820 15226897166 30453794332 38067242915 39238542697 76134485830 78477085394 152268971660 156954170788 196192713485 392385426970 510101055061 784770853940 1020202110122 2040404220244 2550505275305 5101010550610 10202021101220