Search a number
-
+
1000001002110 = 23511191161713729
BaseRepresentation
bin11101000110101001011…
…01000101101001111110
310112121011210022100010020
432203110231011221332
5112341000224031420
62043221043553010
7132150646161435
oct16432455055176
93477153270106
101000001002110
1135610954a890
1214198238b766
13733b85599c6
143658662811c
151b02b8b3340
hexe8d4b45a7e

1000001002110 has 128 divisors (see below), whose sum is σ = 2756421619200. Its totient is φ = 229628805120.

The previous prime is 1000001002109. The next prime is 1000001002139. The reversal of 1000001002110 is 112001000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72831726 + ... + 72845454.

It is an arithmetic number, because the mean of its divisors is an integer number (21534543900).

Almost surely, 21000001002110 is an apocalyptic number.

1000001002110 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 1000001002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378210809600).

1000001002110 is an abundant number, since it is smaller than the sum of its proper divisors (1756420617090).

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

1000001002110 is a wasteful number, since it uses less digits than its factorization.

1000001002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25386.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000001002110 its reverse (112001000001), we get a palindrome (1112002002111).

The spelling of 1000001002110 in words is "one trillion, one million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 11617 13729 23234 27458 34851 41187 58085 68645 69702 82374 116170 127787 137290 151019 174255 205935 220723 255574 260851 302038 348510 383361 411870 441446 453057 521702 638935 662169 755095 766722 782553 906114 1103615 1277870 1304255 1324338 1510190 1565106 1916805 2207230 2265285 2427953 2608510 2869361 3310845 3833610 3912765 4530570 4855906 5738722 6621690 7283859 7825530 8608083 12139765 14346805 14567718 17216166 24279530 28693610 36419295 43040415 72838590 86080830 159489793 318979586 478469379 797448965 956938758 1594897930 1754387723 2392346895 3030306067 3508775446 4784693790 5263163169 6060612134 8771938615 9090918201 10526326338 15151530335 17543877230 18181836402 26315815845 30303060670 33333366737 45454591005 52631631690 66666733474 90909182010 100000100211 166666833685 200000200422 333333667370 500000501055 1000001002110