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203114031320 = 235231092338693
BaseRepresentation
bin1011110100101010001…
…0100010100011011000
3201102021100212212101202
42331022202202203120
511311434143000240
6233150450333332
720450232531344
oct2751242424330
9642240785352
10203114031320
117915a637002
123344658a248
13161cc51a965
149b8b8cc624
15543ba40315
hex2f4a8a28d8

203114031320 has 128 divisors (see below), whose sum is σ = 483372489600. Its totient is φ = 76660936704.

The previous prime is 203114031271. The next prime is 203114031391. The reversal of 203114031320 is 23130411302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 203114031292 and 203114031301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23360894 + ... + 23369586.

It is an arithmetic number, because the mean of its divisors is an integer number (3776347575).

Almost surely, 2203114031320 is an apocalyptic number.

203114031320 is a gapful number since it is divisible by the number (20) 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 203114031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241686244800).

203114031320 is an abundant number, since it is smaller than the sum of its proper divisors (280258458280).

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

203114031320 is a wasteful number, since it uses less digits than its factorization.

203114031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 203114031320 its reverse (23130411302), we get a palindrome (226244442622).

The spelling of 203114031320 in words is "two hundred three billion, one hundred fourteen million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 109 115 184 218 230 233 436 460 466 545 872 920 932 1090 1165 1864 2180 2330 2507 4360 4660 5014 5359 8693 9320 10028 10718 12535 17386 20056 21436 25070 25397 26795 34772 42872 43465 50140 50794 53590 69544 86930 100280 101588 107180 126985 173860 199939 203176 214360 253970 347720 399878 507940 584131 799756 947537 999695 1015880 1168262 1599512 1895074 1999390 2025469 2336524 2920655 3790148 3998780 4050938 4673048 4737685 5841310 7580296 7997560 8101876 9475370 10127345 11682620 16203752 18950740 20254690 21793351 23365240 37901480 40509380 43586702 46585787 81018760 87173404 93171574 108966755 174346808 186343148 217933510 220776121 232928935 372686296 435867020 441552242 465857870 871734040 883104484 931715740 1103880605 1766208968 1863431480 2207761210 4415522420 5077850783 8831044840 10155701566 20311403132 25389253915 40622806264 50778507830 101557015660 203114031320