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1042311420100 = 225233154495779
BaseRepresentation
bin11110010101011101001…
…10100001100011000100
310200122101110211021021101
433022232212201203010
5114034123210420400
62114455315025444
7135206306613646
oct17125646414304
93618343737241
101042311420100
11372050695085
1214a00bb9b284
137739c1912b2
143863b9b6896
151c1a612856a
hexf2ae9a18c4

1042311420100 has 72 divisors (see below), whose sum is σ = 2269458044000. Its totient is φ = 415516780800.

The previous prime is 1042311420097. The next prime is 1042311420107. The reversal of 1042311420100 is 10241132401.

It is not an unprimeable number, because it can be changed into a prime (1042311420107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180359011 + ... + 180364789.

Almost surely, 21042311420100 is an apocalyptic number.

1042311420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042311420100 is an abundant number, since it is smaller than the sum of its proper divisors (1227146623900).

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

1042311420100 is a wasteful number, since it uses less digits than its factorization.

1042311420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11573 (or 11566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1042311420100 its reverse (10241132401), we get a palindrome (1052552552501).

The spelling of 1042311420100 in words is "one trillion, forty-two billion, three hundred eleven million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 331 662 1324 1655 3310 5449 5779 6620 8275 10898 11558 16550 21796 23116 27245 28895 33100 54490 57790 108980 115580 136225 144475 272450 288950 544900 577900 1803619 1912849 3607238 3825698 7214476 7651396 9018095 9564245 18036190 19128490 31489771 36072380 38256980 45090475 47821225 62979542 90180950 95642450 125959084 157448855 180361900 191284900 314897710 629795420 787244275 1574488550 3148977100 10423114201 20846228402 41692456804 52115571005 104231142010 208462284020 260577855025 521155710050 1042311420100