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1020221122130 = 257731931103393
BaseRepresentation
bin11101101100010011110…
…10101110011001010010
310121112100222000212021022
432312021322232121102
5113203403101402010
62100403315155442
7133465013311610
oct16661172563122
93545328025238
101020221122130
11363745254281
12145885ba5b82
137528b714872
1437543c4c6b0
151b811b0ed55
hexed89eae652

1020221122130 has 64 divisors (see below), whose sum is σ = 2128612808448. Its totient is φ = 344816455680.

The previous prime is 1020221122121. The next prime is 1020221122133. The reversal of 1020221122130 is 312211220201.

It is a super-2 number, since 2×10202211221302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020221122099 and 1020221122108.

It is not an unprimeable number, because it can be changed into a prime (1020221122133) 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, 9815714 + ... + 9919106.

It is an arithmetic number, because the mean of its divisors is an integer number (33259575132).

Almost surely, 21020221122130 is an apocalyptic number.

1020221122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020221122130 is an abundant number, since it is smaller than the sum of its proper divisors (1108391686318).

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

1020221122130 is a wasteful number, since it uses less digits than its factorization.

1020221122130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105411.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1020221122130 its reverse (312211220201), we get a palindrome (1332432342331).

The spelling of 1020221122130 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 73 146 365 511 730 1022 1931 2555 3862 5110 9655 13517 19310 27034 67585 103393 135170 140963 206786 281926 516965 704815 723751 986741 1033930 1409630 1447502 1973482 3618755 4933705 7237510 7547689 9867410 15095378 37738445 52833823 75476890 105667646 199651883 264169115 399303766 528338230 998259415 1397563181 1996518830 2795126362 6987815905 13975631810 14574587459 29149174918 72872937295 102022112213 145745874590 204044224426 510110561065 1020221122130