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1021120100010 = 2325432089126307
BaseRepresentation
bin11101101101111111000…
…00000011011010101010
310121121200121121200002100
432312333200003122222
5113212223221200020
62101032431314230
7133526210432433
oct16667740033252
93547617550070
101021120100010
113640667486aa
12145a9707b976
13753a2a40c3a
14375cb3c048a
151b8659d8a90
hexedbf8036aa

1021120100010 has 96 divisors (see below), whose sum is σ = 2717976381120. Its totient is φ = 265836743424.

The previous prime is 1021120100009. The next prime is 1021120100041. The reversal of 1021120100010 is 100010211201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021120099965 and 1021120100001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8021277 + ... + 8147583.

It is an arithmetic number, because the mean of its divisors is an integer number (28312253970).

Almost surely, 21021120100010 is an apocalyptic number.

1021120100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021120100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358988190560).

1021120100010 is an abundant number, since it is smaller than the sum of its proper divisors (1696856281110).

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

1021120100010 is a wasteful number, since it uses less digits than its factorization.

1021120100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128452 (or 128449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021120100010 its reverse (100010211201), we get a palindrome (1121130311211).

The spelling of 1021120100010 in words is "one trillion, twenty-one billion, one hundred twenty million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 2089 3870 4178 6267 10445 12534 18801 20890 31335 37602 62670 89827 94005 126307 179654 188010 252614 269481 378921 449135 538962 631535 757842 808443 898270 1136763 1263070 1347405 1616886 1894605 2273526 2694810 3789210 4042215 5431201 5683815 8084430 10862402 11367630 16293603 27156005 32587206 48880809 54312010 81468015 97761618 162936030 244404045 263855323 488808090 527710646 791565969 1319276615 1583131938 2374697907 2638553230 3957829845 4749395814 7915659690 11345778889 11873489535 22691557778 23746979070 34037336667 56728894445 68074673334 102112010001 113457788890 170186683335 204224020002 340373366670 510560050005 1021120100010