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1012341343200 = 253521138346263
BaseRepresentation
bin11101011101101000011…
…11110000001111100000
310120210000210211121200020
432232310033300033200
5113041233340440300
62053021352153440
7133065522303315
oct16566417601740
93523023747606
101012341343200
11360371329790
12144247098880
1374604075195
1436dd751ad0c
151b4eee608a0
hexebb43f03e0

1012341343200 has 144 divisors (see below), whose sum is σ = 3594732172416. Its totient is φ = 245416076800.

The previous prime is 1012341343187. The next prime is 1012341343201. The reversal of 1012341343200 is 23431432101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012341343201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19146732 + ... + 19199531.

It is an arithmetic number, because the mean of its divisors is an integer number (24963417864).

Almost surely, 21012341343200 is an apocalyptic number.

1012341343200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012341343200 is an abundant number, since it is smaller than the sum of its proper divisors (2582390829216).

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

1012341343200 is a wasteful number, since it uses less digits than its factorization.

1012341343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38346297 (or 38346284 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1012341343200 its reverse (23431432101), we get a palindrome (1035772775301).

The spelling of 1012341343200 in words is "one trillion, twelve billion, three hundred forty-one million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 5280 6600 8800 13200 26400 38346263 76692526 115038789 153385052 191731315 230077578 306770104 383462630 421808893 460155156 575193945 613540208 766925260 843617786 920310312 958656575 1150387890 1227080416 1265426679 1533850520 1687235572 1840620624 1917313150 2109044465 2300775780 2530853358 2875969725 3067701040 3374471144 3681241248 3834626300 4218088930 4601551560 5061706716 5751939450 6135402080 6327133395 6748942288 7669252600 8436177860 9203103120 10123413432 10545222325 11503878900 12654266790 13497884576 15338505200 16872355720 18406206240 20246826864 21090444650 23007757800 25308533580 30677010400 31635666975 33744711440 40493653728 42180889300 46015515600 50617067160 63271333950 67489422880 84361778600 92031031200 101234134320 126542667900 168723557200 202468268640 253085335800 337447114400 506170671600 1012341343200