Search a number
-
+
102030120223020 = 2232511159739322591
BaseRepresentation
bin10111001100101110111101…
…000100101000000100101100
3111101020222120111200020121100
4113030232331010220010230
5101333130141234114040
61000555553512403100
730330301331256513
oct2714567504500454
9441228514606540
10102030120223020
112a567804a45360
12b53a1549a6490
1344c1525946992
141b2a3d9a8367a
15bbe086c22b30
hex5ccbbd12812c

102030120223020 has 144 divisors (see below), whose sum is σ = 337630103516160. Its totient is φ = 24734343081600.

The previous prime is 102030120222977. The next prime is 102030120223091. The reversal of 102030120223020 is 20322021030201.

102030120223020 is a `hidden beast` number, since 1 + 0 + 20 + 301 + 20 + 22 + 302 + 0 = 666.

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 = 102030120222984 and 102030120223002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316121925 + ... + 316444515.

It is an arithmetic number, because the mean of its divisors is an integer number (2344653496640).

Almost surely, 2102030120223020 is an apocalyptic number.

102030120223020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102030120223020 is an abundant number, since it is smaller than the sum of its proper divisors (235599983293140).

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

102030120223020 is a wasteful number, since it uses less digits than its factorization.

102030120223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482356 (or 482351 counting only the distinct ones).

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

Adding to 102030120223020 its reverse (20322021030201), we get a palindrome (122352141253221).

The spelling of 102030120223020 in words is "one hundred two trillion, thirty billion, one hundred twenty million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 159739 319478 322591 479217 638956 645182 798695 958434 967773 1290364 1437651 1597390 1612955 1757129 1916868 1935546 2396085 2875302 2903319 3194780 3225910 3514258 3548501 3871092 4792170 4838865 5271387 5750604 5806638 6451820 7028516 7097002 7188255 8785645 9584340 9677730 10542774 10645503 11613276 14194004 14376510 14516595 15814161 17571290 17742505 19355460 21085548 21291006 26356935 28753020 29033190 31628322 31936509 35142580 35485010 42582012 52713870 53227515 58066380 63256644 63873018 70970020 79070805 105427740 106455030 127746036 158141610 159682545 212910060 316283220 319365090 638730180 51530363749 103060727498 154591091247 206121454996 257651818745 309182182494 463773273741 515303637490 566834001239 618364364988 772955456235 927546547482 1030607274980 1133668002478 1545910912470 1700502003717 1855093094964 2267336004956 2318866368705 2834170006195 3091821824940 3401004007434 4637732737410 5101506011151 5668340012390 6802008014868 8502510018585 9275465474820 10203012022302 11336680024780 17005020037170 20406024044604 25507530055755 34010040074340 51015060111510 102030120223020