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1031012000400 = 243523723220991
BaseRepresentation
bin11110000000011010001…
…10101010001010010000
310122120012222222021102110
433000031012222022100
5113343003033003100
62105350153145320
7134326303256244
oct17001506521220
93576188867373
101031012000400
11368282439898
121479979bb240
13762bb210035
1437c89044424
151bc44142250
hexf00d1aa290

1031012000400 has 120 divisors (see below), whose sum is σ = 3391936743424. Its totient is φ = 267505804800.

The previous prime is 1031012000387. The next prime is 1031012000467. The reversal of 1031012000400 is 40002101301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11566096 + ... + 11654895.

Almost surely, 21031012000400 is an apocalyptic number.

1031012000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031012000400 is an abundant number, since it is smaller than the sum of its proper divisors (2360924743024).

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

1031012000400 is a wasteful number, since it uses less digits than its factorization.

1031012000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23221049 (or 23221038 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1031012000400 its reverse (40002101301), we get a palindrome (1071014101701).

The spelling of 1031012000400 in words is "one trillion, thirty-one billion, twelve million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 23220991 46441982 69662973 92883964 116104955 139325946 185767928 232209910 278651892 348314865 371535856 464419820 557303784 580524775 696629730 859176667 928839640 1114607568 1161049550 1393259460 1718353334 1741574325 1857679280 2322099100 2577530001 2786518920 3436706668 3483148650 4295883335 4644198200 5155060002 5573037840 6873413336 6966297300 8591766670 9288396400 10310120004 12887650005 13746826672 13932594600 17183533340 20620240008 21479416675 25775300010 27865189200 34367066680 41240480016 42958833350 51550600020 64438250025 68734133360 85917666700 103101200040 128876500050 171835333400 206202400080 257753000100 343670666800 515506000200 1031012000400