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3434240112100 = 2252723122608559
BaseRepresentation
bin110001111110011000101…
…010010111010111100100
3110011022101002122120010221
4301332120222113113210
5422231310432041400
611145400152054124
7503054446210600
oct61763052272744
913138332576127
103434240112100
1111044a9016086
124756b4094344
131bbb02b148b5
14bc30a6bc500
155e4ec11ac1a
hex31f98a975e4

3434240112100 has 108 divisors (see below), whose sum is σ = 8948648916480. Its totient is φ = 1139471323200.

The previous prime is 3434240111993. The next prime is 3434240112101. The reversal of 3434240112100 is 12110424343.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3434240112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11152380 + ... + 11456179.

Almost surely, 23434240112100 is an apocalyptic number.

It is an amenable number.

3434240112100 is an abundant number, since it is smaller than the sum of its proper divisors (5514408804380).

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

3434240112100 is a wasteful number, since it uses less digits than its factorization.

3434240112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22608618 (or 22608604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3434240112100 its reverse (12110424343), we get a palindrome (3446350536443).

The spelling of 3434240112100 in words is "three trillion, four hundred thirty-four billion, two hundred forty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 49 50 62 70 98 100 124 140 155 175 196 217 245 310 350 434 490 620 700 775 868 980 1085 1225 1519 1550 2170 2450 3038 3100 4340 4900 5425 6076 7595 10850 15190 21700 30380 37975 75950 151900 22608559 45217118 90434236 113042795 158259913 226085590 316519826 452171180 565213975 633039652 700865329 791299565 1107819391 1130427950 1401730658 1582599130 2215638782 2260855900 2803461316 3165198260 3504326645 3956497825 4431277564 4906057303 5539096955 7008653290 7912995650 9812114606 11078193910 14017306580 15825991300 17521633225 19624229212 22156387820 24530286515 27695484775 34342401121 35043266450 49060573030 55390969550 68684802242 70086532900 98121146060 110781939100 122651432575 137369604484 171712005605 245302865150 343424011210 490605730300 686848022420 858560028025 1717120056050 3434240112100