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3102123200120 = 235779874716033
BaseRepresentation
bin101101001001000100111…
…100111000111001111000
3101222120010022002100201022
4231021010330320321320
5401311122014400440
610333032402042012
7440056335064310
oct55110474707170
911876108070638
103102123200120
11a9666a74651a
12421266949308
131966b5191379
14aa201d22440
1555a60079cb5
hex2d244f38e78

3102123200120 has 128 divisors (see below), whose sum is σ = 8079288883200. Its totient is φ = 1049936449536.

The previous prime is 3102123199999. The next prime is 3102123200131. The reversal of 3102123200120 is 210023212013.

3102123200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 193475624 + ... + 193491656.

It is an arithmetic number, because the mean of its divisors is an integer number (63119444400).

Almost surely, 23102123200120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102123200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039644441600).

3102123200120 is an abundant number, since it is smaller than the sum of its proper divisors (4977165683080).

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

3102123200120 is a wasteful number, since it uses less digits than its factorization.

3102123200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24877 (or 24873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 3102123200120 its reverse (210023212013), we get a palindrome (3312146412133).

The spelling of 3102123200120 in words is "three trillion, one hundred two billion, one hundred twenty-three million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 8747 11060 16033 17494 22120 32066 34988 43735 61229 64132 69976 80165 87470 112231 122458 128264 160330 174940 224462 244916 306145 320660 349880 448924 489832 561155 612290 641320 691013 897848 1122310 1224580 1266607 1382026 2244620 2449160 2533214 2764052 3455065 4489240 4837091 5066428 5528104 6333035 6910130 8866249 9674182 10132856 12666070 13820260 17732498 19348364 24185455 25332140 27640520 35464996 38696728 44331245 48370910 50664280 70929992 88662490 96741820 140240651 177324980 193483640 280481302 354649960 560962604 701203255 981684557 1121925208 1402406510 1963369114 2804813020 3926738228 4908422785 5609626040 7853476456 9816845570 11079011429 19633691140 22158022858 39267382280 44316045716 55395057145 77553080003 88632091432 110790114290 155106160006 221580228580 310212320012 387765400015 443160457160 620424640024 775530800030 1551061600060 3102123200120