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103202010022320 = 243251113030556821
BaseRepresentation
bin10111011101110010010111…
…001001011100000110110000
3111112102000102112002012111100
4113131302113021130012300
5102011330204031203240
61003254203210044400
730511046005226616
oct2735622711340660
9445360375065440
10103202010022320
112a9797aa206620
12b6a92a8419700
134577ba553b121
141b6b00ab336b6
15bde7c3b79e30
hex5ddc9725c1b0

103202010022320 has 120 divisors (see below), whose sum is σ = 378094636747152. Its totient is φ = 25018669094400.

The previous prime is 103202010022271. The next prime is 103202010022333. The reversal of 103202010022320 is 23220010202301.

103202010022320 is a `hidden beast` number, since 1 + 0 + 320 + 2 + 0 + 1 + 0 + 0 + 22 + 320 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 103202010022293 and 103202010022302.

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, 6515270491 + ... + 6515286330.

Almost surely, 2103202010022320 is an apocalyptic number.

103202010022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103202010022320 is an abundant number, since it is smaller than the sum of its proper divisors (274892626724832).

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

103202010022320 is a wasteful number, since it uses less digits than its factorization.

103202010022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13030556851 (or 13030556842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103202010022320 its reverse (23220010202301), we get a palindrome (126422020224621).

The spelling of 103202010022320 in words is "one hundred three trillion, two hundred two billion, ten million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 13030556821 26061113642 39091670463 52122227284 65152784105 78183340926 104244454568 117275011389 130305568210 143336125031 156366681852 195458352315 208488909136 234550022778 260611136420 286672250062 312733363704 390916704630 430008375093 469100045556 521222272840 573344500124 586375056945 625466727408 716680625155 781833409260 860016750186 938200091112 1042444545680 1146689000248 1172750113890 1290025125279 1433361250310 1563666818520 1720033500372 1876400182224 2150041875465 2293378000496 2345500227780 2580050250558 2866722500620 3127333637040 3440067000744 4300083750930 4691000455560 5160100501116 5733445001240 6450125626395 6880134001488 8600167501860 9382000911120 10320201002232 11466890002480 12900251252790 17200335003720 20640402004464 25800502505580 34400670007440 51601005011160 103202010022320