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114314211033100 = 22521328022184319
BaseRepresentation
bin11001111111011111011001…
…111100010000000000001100
3112222202022221220201210100121
4121333133121330100000030
5104440411001011024400
61043043120142434324
733035633500322611
oct3177373174200014
9488668856653317
10114314211033100
1133473425a65611
12109a2a39b929a4
134ba2a26155800
142032ba1910508
15d3389579821a
hex67f7d9f1000c

114314211033100 has 108 divisors (see below), whose sum is σ = 268617873397440. Its totient is φ = 42207297350400.

The previous prime is 114314211033097. The next prime is 114314211033157. The reversal of 114314211033100 is 1330112413411.

It is a super-2 number, since 2×1143142110331002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1355692741 + ... + 1355777059.

Almost surely, 2114314211033100 is an apocalyptic number.

114314211033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114314211033100 is an abundant number, since it is smaller than the sum of its proper divisors (154303662364340).

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

114314211033100 is a wasteful number, since it uses less digits than its factorization.

114314211033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164580 (or 164560 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 114314211033100 its reverse (1330112413411), we get a palindrome (115644323446511).

The spelling of 114314211033100 in words is "one hundred fourteen trillion, three hundred fourteen billion, two hundred eleven million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 80221 84319 160442 168638 320884 337276 401105 421595 802210 843190 1042873 1096147 1604420 1686380 2005525 2085746 2107975 2192294 4011050 4171492 4215950 4384588 5214365 5480735 8022100 8431900 10428730 10961470 13557349 14249911 20857460 21922940 26071825 27114698 27403675 28499822 52143650 54229396 54807350 56999644 67786745 71249555 104287300 109614700 135573490 142499110 271146980 284998220 338933725 356247775 677867450 712495550 1355734900 1424991100 6764154499 13528308998 27056617996 33820772495 67641544990 87934008487 135283089980 169103862475 175868016974 338207724950 351736033948 439670042435 676415449900 879340084870 1143142110331 1758680169740 2198350212175 2286284220662 4396700424350 4572568441324 5715710551655 8793400848700 11431421103310 22862842206620 28578552758275 57157105516550 114314211033100