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210000002011120 = 245191409139924019
BaseRepresentation
bin101111101111111001101111…
…100001011100111111110000
31000112112210201012122111010201
4233233321233201130333300
5210011120001003323440
62022344400305404544
762142666550036336
oct5757715741347760
91015483635574121
10210000002011120
1160a045564a0352
121b6774a7939754
139023bb896c8c9
1439c00a9117b56
1519428ae27d19a
hexbefe6f85cff0

210000002011120 has 160 divisors (see below), whose sum is σ = 492378485760000. Its totient is φ = 83292856104960.

The previous prime is 210000002011087. The next prime is 210000002011123. The reversal of 210000002011120 is 21110200000012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210000002011097 and 210000002011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210000002011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8743066471 + ... + 8743090489.

It is an arithmetic number, because the mean of its divisors is an integer number (3077365536000).

Almost surely, 2210000002011120 is an apocalyptic number.

210000002011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000002011120 is an abundant number, since it is smaller than the sum of its proper divisors (282378483748880).

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

210000002011120 is a wasteful number, since it uses less digits than its factorization.

210000002011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26031 (or 26025 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210000002011120 its reverse (21110200000012), we get a palindrome (231110202011132).

The spelling of 210000002011120 in words is "two hundred ten trillion, two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 409 764 818 955 1399 1528 1636 1910 2045 2798 3056 3272 3820 4090 5596 6544 6995 7640 8180 11192 13990 15280 16360 22384 24019 27980 32720 48038 55960 78119 96076 111920 120095 156238 192152 240190 267209 312476 384304 390595 480380 534418 572191 624952 781190 960760 1068836 1144382 1249904 1336045 1562380 1921520 2137672 2288764 2672090 2860955 3124760 4275344 4577528 4587629 5344180 5721910 6249520 9155056 9175258 9823771 10688360 11443820 18350516 19647542 21376720 22887640 22938145 33602581 36701032 39295084 45775280 45876290 49118855 67205162 73402064 78590168 91752580 98237710 109288481 134410324 157180336 168012905 183505160 196475420 218576962 268820648 336025810 367010320 392950840 437153924 537641296 546442405 672051620 785901680 874307848 1092884810 1344103240 1748615696 1876340261 2185769620 2688206480 3752680522 4371539240 6418092971 7505361044 8743078480 9381701305 12836185942 13743455629 15010722088 18763402610 25672371884 27486911258 30021444176 32090464855 37526805220 51344743768 54973822516 64180929710 68717278145 75053610440 102689487536 109947645032 128361859420 137434556290 150107220880 219895290064 256723718840 274869112580 513447437680 549738225160 1099476450320 2625000025139 5250000050278 10500000100556 13125000125695 21000000201112 26250000251390 42000000402224 52500000502780 105000001005560 210000002011120