Search a number
-
+
102020020002012 = 223719287892220373
BaseRepresentation
bin10111001100100101100011…
…000011010101110011011100
3111101020000111121022212002210
4113030211203003111303130
5101332444000110031022
61000551203345520420
730326463125642160
oct2714454303256334
9441200447285083
10102020020002012
112a5634a16a8872
12b5381b6343110
1344c05a6269248
141b29b1c4b2ca0
15bbdb95169a0c
hex5cc9630d5cdc

102020020002012 has 96 divisors (see below), whose sum is σ = 286382062220800. Its totient is φ = 27613469866752.

The previous prime is 102020020001983. The next prime is 102020020002037. The reversal of 102020020002012 is 210200020020201.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44837058 + ... + 47057430.

Almost surely, 2102020020002012 is an apocalyptic number.

102020020002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102020020002012 is an abundant number, since it is smaller than the sum of its proper divisors (184362042218788).

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

102020020002012 is a wasteful number, since it uses less digits than its factorization.

102020020002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249195 (or 2249193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020020002012 its reverse (210200020020201), we get a palindrome (312220040022213).

The spelling of 102020020002012 in words is "one hundred two trillion, twenty billion, twenty million, two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 28789 57578 86367 115156 172734 201523 345468 403046 546991 604569 806092 1093982 1209138 1640973 2187964 2220373 2418276 3281946 3828937 4440746 6563892 6661119 7657874 8881492 11486811 13322238 15315748 15542611 22973622 26644476 31085222 42187087 45947244 46627833 62170444 84374174 93255666 126561261 168748348 186511332 253122522 295309609 506245044 590619218 885928827 1181238436 1771857654 3543715308 63922318297 127844636594 191766954891 255689273188 383533909782 447456228079 767067819564 894912456158 1214524047643 1342368684237 1789824912316 2429048095286 2684737368474 3643572142929 4858096190572 5369474736948 7287144285858 8501668333501 14574288571716 17003336667002 25505005000503 34006673334004 51010010001006 102020020002012