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11204134001320 = 23513175879215587
BaseRepresentation
bin1010001100001010101001…
…1011010101101010101000
31110200002211100210101111211
42203002222123111222220
52432032031301020240
635455035203402504
72234320612441321
oct243025233255250
943602740711454
1011204134001320
11362a712609527
12130b529983434
13633712051750
142aa3d66cd448
151466a2a22bea
hexa30aa6d5aa8

11204134001320 has 128 divisors (see below), whose sum is σ = 28750470739200. Its totient is φ = 3892882968576.

The previous prime is 11204134001293. The next prime is 11204134001383. The reversal of 11204134001320 is 2310043140211.

It is a junction number, because it is equal to n+sod(n) for n = 11204134001291 and 11204134001300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51862567 + ... + 52078153.

It is an arithmetic number, because the mean of its divisors is an integer number (224613052650).

Almost surely, 211204134001320 is an apocalyptic number.

11204134001320 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 11204134001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375235369600).

11204134001320 is an abundant number, since it is smaller than the sum of its proper divisors (17546336737880).

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

11204134001320 is a wasteful number, since it uses less digits than its factorization.

11204134001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221507 (or 221503 counting only the distinct ones).

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

Adding to 11204134001320 its reverse (2310043140211), we get a palindrome (13514177141531).

The spelling of 11204134001320 in words is "eleven trillion, two hundred four billion, one hundred thirty-four million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 5879 8840 11758 23516 29395 47032 58790 76427 99943 117580 152854 199886 215587 235160 305708 382135 399772 431174 499715 611416 764270 799544 862348 999430 1077935 1299259 1528540 1724696 1998860 2155870 2598518 2802631 3057080 3664979 3997720 4311740 5197036 5605262 6496295 7329958 8623480 10394072 11210524 12992590 14013155 14659916 18324895 22421048 25985180 28026310 29319832 36649790 47644727 51970360 56052620 73299580 95289454 112105240 146599160 190578908 238223635 381157816 476447270 952894540 1267435973 1905789080 2534871946 5069743892 6337179865 10139487784 12674359730 16476667649 21546411541 25348719460 32953335298 43092823082 50697438920 65906670596 82383338245 86185646164 107732057705 131813341192 164766676490 172371292328 215464115410 280103350033 329533352980 430928230820 560206700066 659066705960 861856461640 1120413400132 1400516750165 2240826800264 2801033500330 5602067000660 11204134001320