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2103434213040 = 243258335198029
BaseRepresentation
bin11110100110111110011…
…100101111011010110000
321110002022221120021212100
4132212332130233122300
5233430313124304130
64250145423100400
7304653026544336
oct36467634573260
97402287507770
102103434213040
1174107485aa86
1229b7aba41700
131234786b8424
1473b41a65b56
1539aad97bc60
hex1e9be72f6b0

2103434213040 has 120 divisors (see below), whose sum is σ = 7149142269360. Its totient is φ = 554157752832.

The previous prime is 2103434212961. The next prime is 2103434213059. The reversal of 2103434213040 is 403124343012.

2103434213040 is a `hidden beast` number, since 2 + 10 + 3 + 4 + 342 + 1 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2103434212995 and 2103434213013.

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, 17539255 + ... + 17658774.

It is an arithmetic number, because the mean of its divisors is an integer number (59576185578).

Almost surely, 22103434213040 is an apocalyptic number.

2103434213040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2103434213040 is an abundant number, since it is smaller than the sum of its proper divisors (5045708056320).

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

2103434213040 is a wasteful number, since it uses less digits than its factorization.

2103434213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35198131 (or 35198122 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2103434213040 its reverse (403124343012), we get a palindrome (2506558556052).

The spelling of 2103434213040 in words is "two trillion, one hundred three billion, four hundred thirty-four million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 996 1245 1328 1494 1660 1992 2490 2988 3320 3735 3984 4980 5976 6640 7470 9960 11952 14940 19920 29880 59760 35198029 70396058 105594087 140792116 175990145 211188174 281584232 316782261 351980290 422376348 527970435 563168464 633564522 703960580 844752696 1055940870 1267129044 1407921160 1583911305 1689505392 2111881740 2534258088 2815842320 2921436407 3167822610 4223763480 5068516176 5842872814 6335645220 8447526960 8764309221 11685745628 12671290440 14607182035 17528618442 23371491256 25342580880 26292927663 29214364070 35057236884 43821546105 46742982512 52585855326 58428728140 70114473768 87643092210 105171710652 116857456280 131464638315 140228947536 175286184420 210343421304 233714912560 262929276630 350572368840 420686842608 525858553260 701144737680 1051717106520 2103434213040