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2001321120 = 253537112687
BaseRepresentation
bin111011101001001…
…1011110010100000
312011110211122110110
41313102123302200
513044314233440
6530331131320
7100410643311
oct16722336240
95143748413
102001321120
1193776a1a7
1247a2a3b40
1325b81a7a6
1414db20608
15baa74080
hex7749bca0

2001321120 has 96 divisors (see below), whose sum is σ = 6474601728. Its totient is φ = 519257088.

The previous prime is 2001321109. The next prime is 2001321137. The reversal of 2001321120 is 211231002.

2001321120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2001321096 and 2001321105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38584 + ... + 74103.

It is an arithmetic number, because the mean of its divisors is an integer number (67443768).

Almost surely, 22001321120 is an apocalyptic number.

2001321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001321120 is an abundant number, since it is smaller than the sum of its proper divisors (4473280608).

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

2001321120 is a wasteful number, since it uses less digits than its factorization.

2001321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112742 (or 112734 counting only the distinct ones).

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

The square root of 2001321120 is about 44736.1276822212. The cubic root of 2001321120 is about 1260.1984066498.

Adding to 2001321120 its reverse (211231002), we get a palindrome (2212552122).

The spelling of 2001321120 in words is "two billion, one million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 112687 225374 338061 450748 563435 676122 901496 1126870 1352244 1690305 1802992 2253740 2704488 3380610 3605984 4169419 4507480 5408976 6761220 8338838 9014960 10817952 12508257 13522440 16677676 18029920 20847095 25016514 27044880 33355352 41694190 50033028 54089760 62541285 66710704 83388380 100066056 125082570 133421408 166776760 200132112 250165140 333553520 400264224 500330280 667107040 1000660560 2001321120