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1020100202220 = 2235114651332317
BaseRepresentation
bin11101101100000101011…
…01011100111011101100
310121112001112111111100010
432312002231130323230
5113203131122432340
62100343315333220
7133462014436461
oct16660255347354
93545045444303
101020100202220
11363692a74370
121458515b1210
137526c658018
1437531b73668
151b8061c6b80
hexed82b5ceec

1020100202220 has 96 divisors (see below), whose sum is σ = 3116621765376. Its totient is φ = 247243104000.

The previous prime is 1020100202207. The next prime is 1020100202243. The reversal of 1020100202220 is 222020010201.

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 = 1020100202196 and 1020100202205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2903502 + ... + 3235818.

It is an arithmetic number, because the mean of its divisors is an integer number (32464810056).

Almost surely, 21020100202220 is an apocalyptic number.

1020100202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100202220 is an abundant number, since it is smaller than the sum of its proper divisors (2096521563156).

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

1020100202220 is a wasteful number, since it uses less digits than its factorization.

1020100202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336991 (or 336989 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020100202220 its reverse (222020010201), we get a palindrome (1242120212421).

The spelling of 1020100202220 in words is "one trillion, twenty billion, one hundred million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4651 9302 13953 18604 23255 27906 46510 51161 55812 69765 93020 102322 139530 153483 204644 255805 279060 306966 332317 511610 613932 664634 767415 996951 1023220 1329268 1534830 1661585 1993902 3069660 3323170 3655487 3987804 4984755 6646340 7310974 9969510 10966461 14621948 18277435 19939020 21932922 36554870 43865844 54832305 73109740 109664610 219329220 1545606367 3091212734 4636819101 6182425468 7728031835 9273638202 15456063670 17001670037 18547276404 23184095505 30912127340 34003340074 46368191010 51005010111 68006680148 85008350185 92736382020 102010020222 170016700370 204020040444 255025050555 340033400740 510050101110 1020100202220