Search a number
-
+
100010001100110 = 235297313711494253
BaseRepresentation
bin10110101111010101100100…
…100101101110110101001110
3111010002212021221011001110220
4112233111210211232311032
5101102030440240200420
6552411543225012210
730031325026115433
oct2657254445566516
9433085257131426
10100010001100110
1129959004402772
12b272737024066
1343a5b9712a06a
141a9a71d17db8a
15b867527e8840
hex5af56496ed4e

100010001100110 has 128 divisors (see below), whose sum is σ = 253539335191680. Its totient is φ = 25211584290816.

The previous prime is 100010001100063. The next prime is 100010001100133. The reversal of 100010001100110 is 11001100010001.

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

100010001100110 is a modest number, since divided by 1100110 gives 1000100 as remainder.

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, 2953744 + ... + 14447996.

It is an arithmetic number, because the mean of its divisors is an integer number (1980776056185).

Almost surely, 2100010001100110 is an apocalyptic number.

100010001100110 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 100010001100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126769667595840).

100010001100110 is an abundant number, since it is smaller than the sum of its proper divisors (153529334091570).

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

100010001100110 is a wasteful number, since it uses less digits than its factorization.

100010001100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494502.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010001100110 its reverse (11001100010001), we get a palindrome (111011101110111).

The spelling of 100010001100110 in words is "one hundred trillion, ten billion, one million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 73 87 137 145 146 174 219 274 290 365 411 435 438 685 730 822 870 1095 1370 2055 2117 2190 3973 4110 4234 6351 7946 10001 10585 11919 12702 19865 20002 21170 23838 30003 31755 39730 50005 59595 60006 63510 100010 119190 150015 290029 300030 580058 870087 1450145 1740174 2900290 4350435 8700870 11494253 22988506 34482759 57471265 68965518 114942530 172413795 333333337 344827590 666666674 839080469 1000000011 1574712661 1666666685 1678160938 2000000022 2517241407 3149425322 3333333370 4195402345 4724137983 5000000055 5034482814 7873563305 8390804690 9448275966 10000000110 12586207035 15747126610 23620689915 24333333601 25172414070 45666667169 47241379830 48666667202 73000000803 91333334338 114954024253 121666668005 137000001507 146000001606 228333335845 229908048506 243333336010 274000003014 344862072759 365000004015 456666671690 574770121265 685000007535 689724145518 730000008030 1149540242530 1370000015070 1724310363795 3333666703337 3448620727590 6667333406674 10001000110011 16668333516685 20002000220022 33336667033370 50005000550055 100010001100110