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1000121111010 = 23457409431267
BaseRepresentation
bin11101000110110111101…
…11010001000111100010
310112121111011022111120000
432203123313101013202
5112341222001023020
62043241014200430
7132153635115240
oct16433367210742
93477434274500
101000121111010
1135617032643a
121419b6653116
13734073c1368
1436598571790
151b0371db090
hexe8dbdd11e2

1000121111010 has 160 divisors (see below), whose sum is σ = 3080909589120. Its totient is φ = 228039660288.

The previous prime is 1000121110999. The next prime is 1000121111023. The reversal of 1000121111010 is 101111210001.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000121110983 and 1000121111001.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2103397 + ... + 2534663.

It is an arithmetic number, because the mean of its divisors is an integer number (19255684932).

Almost surely, 21000121111010 is an apocalyptic number.

1000121111010 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 1000121111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540454794560).

1000121111010 is an abundant number, since it is smaller than the sum of its proper divisors (2080788478110).

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

1000121111010 is a wasteful number, since it uses less digits than its factorization.

1000121111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431702 (or 431693 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1000121111010 its reverse (101111210001), we get a palindrome (1101232321011).

The spelling of 1000121111010 in words is "one trillion, one hundred twenty-one million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 409 567 630 810 818 945 1134 1227 1890 2045 2454 2835 2863 3681 4090 5670 5726 6135 7362 8589 11043 12270 14315 17178 18405 22086 25767 28630 33129 36810 42945 51534 55215 66258 77301 85890 110430 128835 154602 165645 231903 257670 331290 386505 431267 463806 773010 862534 1159515 1293801 2156335 2319030 2587602 3018869 3881403 4312670 6037738 6469005 7762806 9056607 11644209 12938010 15094345 18113214 19407015 23288418 27169821 30188690 34932627 38814030 45283035 54339642 58221045 69865254 81509463 90566070 116442090 135849105 163018926 174663135 176388203 244528389 271698210 349326270 352776406 407547315 489056778 529164609 815094630 881941015 1058329218 1222641945 1234717421 1587493827 1763882030 2445283890 2469434842 2645823045 3174987654 3704152263 4762481481 5291646090 6173587105 7408304526 7937469135 9524962962 11112456789 12347174210 14287444443 15874938270 18520761315 22224913578 23812407405 28574888886 33337370367 37041522630 47624814810 55562283945 66674740734 71437222215 100012111101 111124567890 142874444430 166686851835 200024222202 333373703670 500060555505 1000121111010