Search a number
-
+
10121221020020 = 22511295329932043
BaseRepresentation
bin1001001101001000011111…
…0010001001100101110100
31022211120122021222002220112
42103102013302021211310
52311311230040120040
633305342540122152
72063143202122655
oct223220762114564
938746567862815
1010121221020020
1132524274515a0
121175688536358
135855722b6836
1426dc266b752c
151284221d7365
hex93487c89974

10121221020020 has 96 divisors (see below), whose sum is σ = 24438915285120. Its totient is φ = 3486484252160.

The previous prime is 10121221020019. The next prime is 10121221020121. The reversal of 10121221020020 is 2002012212101.

It is a super-2 number, since 2×101212210200202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121221019977 and 10121221020004.

It is a congruent number.

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, 14627882 + ... + 15304161.

It is an arithmetic number, because the mean of its divisors is an integer number (254572034220).

Almost surely, 210121221020020 is an apocalyptic number.

10121221020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121221020020 is an abundant number, since it is smaller than the sum of its proper divisors (14317694265100).

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

10121221020020 is a wasteful number, since it uses less digits than its factorization.

10121221020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29932145 (or 29932143 counting only the distinct ones).

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

Adding to 10121221020020 its reverse (2002012212101), we get a palindrome (12123233232121).

The spelling of 10121221020020 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 53 55 58 106 110 116 145 212 220 265 290 319 530 580 583 638 1060 1166 1276 1537 1595 2332 2915 3074 3190 5830 6148 6380 7685 11660 15370 16907 30740 33814 67628 84535 169070 338140 29932043 59864086 119728172 149660215 299320430 329252473 598640860 658504946 868029247 1317009892 1586398279 1646262365 1736058494 3172796558 3292524730 3472116988 4340146235 6345593116 6585049460 7931991395 8680292470 9548321717 15863982790 17360584940 17450381069 19096643434 31727965580 34900762138 38193286868 46005550091 47741608585 69801524276 87251905345 92011100182 95483217170 174503810690 184022200364 190966434340 230027750455 349007621380 460055500910 506061051001 920111001820 1012122102002 2024244204004 2530305255005 5060610510010 10121221020020