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1331122032400 = 245231667316087
BaseRepresentation
bin10011010111101101000…
…011100100111100010000
311201020212011221111200211
4103113231003210330100
5133302114220014100
62455301540453504
7165112305405616
oct23275503447420
94636764844624
101331122032400
11473586759826
12195b920aa294
13986a7a85724
14485d8a296b6
152495b2d81ba
hex135ed0e4f10

1331122032400 has 120 divisors (see below), whose sum is σ = 3301882586624. Its totient is φ = 515163801600.

The previous prime is 1331122032349. The next prime is 1331122032419. The reversal of 1331122032400 is 42302211331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82737157 + ... + 82753243.

Almost surely, 21331122032400 is an apocalyptic number.

1331122032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331122032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650941293312).

1331122032400 is an abundant number, since it is smaller than the sum of its proper divisors (1970760554224).

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

1331122032400 is a wasteful number, since it uses less digits than its factorization.

1331122032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22809 (or 22798 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1331122032400 its reverse (42302211331), we get a palindrome (1373424243731).

The spelling of 1331122032400 in words is "one trillion, three hundred thirty-one billion, one hundred twenty-two million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 6673 12400 13346 16087 26692 32174 33365 53384 64348 66730 80435 106768 128696 133460 160870 166825 206863 257392 266920 321740 333650 402175 413726 498697 533840 643480 667300 804350 827452 997394 1034315 1286960 1334600 1608700 1654904 1994788 2068630 2493485 2669200 3217400 3309808 3989576 4137260 4986970 5171575 6434800 7979152 8274520 9973940 10343150 12467425 16549040 19947880 20686300 24934850 39895760 41372600 49869700 82745200 99739400 107348551 199478800 214697102 429394204 536742755 858788408 1073485510 1717576816 2146971020 2683713775 3327805081 4293942040 5367427550 6655610162 8587884080 10734855100 13311220324 16639025405 21469710200 26622440648 33278050810 42939420400 53244881296 66556101620 83195127025 133112203240 166390254050 266224406480 332780508100 665561016200 1331122032400