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102010203120 = 2435731239191
BaseRepresentation
bin101111100000001001…
…0000010101111110000
3100202022021012020112010
41133000102002233300
53132404102444440
6114510212402520
710240623264000
oct1370022025760
9322267166463
10102010203120
113a2981114a1
121792b016440
139809119c47
144d1a014000
1529c0965580
hex17c0482bf0

102010203120 has 160 divisors (see below), whose sum is σ = 368783539200. Its totient is φ = 23316599040.

The previous prime is 102010203059. The next prime is 102010203143. The reversal of 102010203120 is 21302010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102010203096 and 102010203105.

It is a congruent number.

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, 537276 + ... + 701915.

It is an arithmetic number, because the mean of its divisors is an integer number (2304897120).

Almost surely, 2102010203120 is an apocalyptic number.

102010203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010203120 is an abundant number, since it is smaller than the sum of its proper divisors (266773336080).

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

102010203120 is a wasteful number, since it uses less digits than its factorization.

102010203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239228 (or 1239208 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102010203120 its reverse (21302010201), we get a palindrome (123312213321).

The spelling of 102010203120 in words is "one hundred two billion, ten million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2940 3430 3920 4116 5145 5488 5880 6860 8232 10290 11760 13720 16464 20580 27440 41160 82320 1239191 2478382 3717573 4956764 6195955 7435146 8674337 9913528 12391910 14870292 17348674 18587865 19827056 24783820 26023011 29740584 34697348 37175730 43371685 49567640 52046022 59481168 60720359 69394696 74351460 86743370 99135280 104092044 121440718 130115055 138789392 148702920 173486740 182161077 208184088 242881436 260230110 297405840 303601795 346973480 364322154 416368176 425042513 485762872 520460220 607203590 693946960 728644308 850085026 910805385 971525744 1040920440 1214407180 1275127539 1457288616 1700170052 1821610770 2081840880 2125212565 2428814360 2550255078 2914577232 3400340104 3643221540 4250425130 4857628720 5100510156 6375637695 6800680208 7286443080 8500850260 10201020312 12751275390 14572886160 17001700520 20402040624 25502550780 34003401040 51005101560 102010203120