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2100120310200 = 2335211228927277
BaseRepresentation
bin11110100011111000111…
…011001101000110111000
321102202202222212120210010
4132203320323031012320
5233402021244411300
64244440522421520
7304504640046123
oct36437073150670
97382688776703
102100120310200
1173a72418a800
1229b0260618a0
1312306ac78c83
14739098ab3ba
1539967a7ea50
hex1e8f8ecd1b8

2100120310200 has 144 divisors (see below), whose sum is σ = 7156030031640. Its totient is φ = 509120057600.

The previous prime is 2100120310193. The next prime is 2100120310243. The reversal of 2100120310200 is 20130210012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14391039 + ... + 14536238.

Almost surely, 22100120310200 is an apocalyptic number.

2100120310200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100120310200 is an abundant number, since it is smaller than the sum of its proper divisors (5055909721440).

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

2100120310200 is a wasteful number, since it uses less digits than its factorization.

2100120310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28927318 (or 28927298 counting only the distinct ones).

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

Adding to 2100120310200 its reverse (20130210012), we get a palindrome (2120250520212).

It can be divided in two parts, 21001203 and 10200, that added together give a triangular number (21011403 = T6482).

The spelling of 2100120310200 in words is "two trillion, one hundred billion, one hundred twenty million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 28927277 57854554 86781831 115709108 144636385 173563662 231418216 289272770 318200047 347127324 433909155 578545540 636400094 694254648 723181925 867818310 954600141 1157091080 1272800188 1446363850 1591000235 1735636620 1909200282 2169545775 2545600376 2892727700 3182000470 3471273240 3500200517 3818400564 4339091550 4773000705 5785455400 6364000940 7000401034 7636801128 7955001175 8678183100 9546001410 10500601551 12728001880 14000802068 15910002350 17356366200 17501002585 19092002820 21001203102 23865003525 28001604136 31820004700 35002005170 38184005640 42002406204 47730007050 52503007755 63640009400 70004010340 84004812408 87505012925 95460014100 105006015510 140008020680 175010025850 190920028200 210012031020 262515038775 350020051700 420024062040 525030077550 700040103400 1050060155100 2100120310200