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101030234411040 = 25351119134514093
BaseRepresentation
bin10110111110001011101111…
…001110111101000000100000
3111020201101200202010011122020
4112332023233032331000200
5101220234410002123130
6554512352101341440
730165123251144244
oct2676135716750040
9436641622104566
10101030234411040
112a211755521630
12b3b8405107880
13444b15821b81c
141ad3c64882424
15ba3065514e10
hex5be2ef3bd020

101030234411040 has 96 divisors (see below), whose sum is σ = 347176623721536. Its totient is φ = 24492178037760.

The previous prime is 101030234410981. The next prime is 101030234411047. The reversal of 101030234411040 is 40114432030101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101030234411040.

It is not an unprimeable number, because it can be changed into a prime (101030234411047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9567251767 + ... + 9567262326.

It is an arithmetic number, because the mean of its divisors is an integer number (3616423163766).

Almost surely, 2101030234411040 is an apocalyptic number.

101030234411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101030234411040 is an abundant number, since it is smaller than the sum of its proper divisors (246146389310496).

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

101030234411040 is a wasteful number, since it uses less digits than its factorization.

101030234411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19134514122 (or 19134514114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101030234411040 its reverse (40114432030101), we get a palindrome (141144666441141).

The spelling of 101030234411040 in words is "one hundred one trillion, thirty billion, two hundred thirty-four million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 19134514093 38269028186 57403542279 76538056372 95672570465 114807084558 153076112744 191345140930 210479655023 229614169116 287017711395 306152225488 382690281860 420959310046 459228338232 574035422790 612304450976 631438965069 765380563720 841918620092 918456676464 1052398275115 1148070845580 1262877930138 1530761127440 1683837240184 1836913352928 2104796550230 2296141691160 2525755860276 3061522254880 3157194825345 3367674480368 4209593100460 4592283382320 5051511720552 6314389650690 6735348960736 8419186200920 9184566764640 10103023441104 12628779301380 16838372401840 20206046882208 25257558602760 33676744803680 50515117205520 101030234411040