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10132131442000 = 245323220263727
BaseRepresentation
bin1001001101110001001000…
…0110000110110101010000
31022212121210122211222012111
42103130102012012311100
52312001101122121000
633314345324235104
72064010443151261
oct223342206066520
938777718758174
1010132131442000
113257016067067
12117781239ba94
135865c07a9329
1427057d70a968
1512885ee7ecba
hex93712186d50

10132131442000 has 80 divisors (see below), whose sum is σ = 25564689326592. Its totient is φ = 3876641577600.

The previous prime is 10132131441973. The next prime is 10132131442003. The reversal of 10132131442000 is 24413123101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132131442003) 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, 110085864 + ... + 110177863.

Almost surely, 210132131442000 is an apocalyptic number.

10132131442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132131442000 is an abundant number, since it is smaller than the sum of its proper divisors (15432557884592).

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

10132131442000 is a wasteful number, since it uses less digits than its factorization.

10132131442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220263773 (or 220263757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10132131442000 its reverse (24413123101), we get a palindrome (10156544565101).

The spelling of 10132131442000 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-one million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 220263727 440527454 881054908 1101318635 1762109816 2202637270 3524219632 4405274540 5066065721 5506593175 8810549080 10132131442 11013186350 17621098160 20264262884 22026372700 25330328605 27532965875 40528525768 44052745400 50660657210 55065931750 81057051536 88105490800 101321314420 110131863500 126651643025 202642628840 220263727000 253303286050 405285257680 440527454000 506606572100 633258215125 1013213144200 1266516430250 2026426288400 2533032860500 5066065721000 10132131442000