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2111020020120 = 2335114337192037
BaseRepresentation
bin11110101110000010100…
…110010011000110011000
321110210220121121012220010
4132232002212103012120
5234041332111120440
64253442245201520
7305342021051064
oct36560246230630
97423817535803
102111020020120
11744307849130
122a11684002a0
131240b718aa7b
1474261312aa4
1539da490d580
hex1eb82993198

2111020020120 has 128 divisors (see below), whose sum is σ = 7069462583040. Its totient is φ = 499860963840.

The previous prime is 2111020020107. The next prime is 2111020020139. The reversal of 2111020020120 is 210200201112.

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 = 2111020020096 and 2111020020105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18539259 + ... + 18652778.

It is an arithmetic number, because the mean of its divisors is an integer number (55230176430).

Almost surely, 22111020020120 is an apocalyptic number.

2111020020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111020020120 is an abundant number, since it is smaller than the sum of its proper divisors (4958442562920).

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

2111020020120 is a wasteful number, since it uses less digits than its factorization.

2111020020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37192105 (or 37192101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2111020020120 its reverse (210200201112), we get a palindrome (2321220221232).

The spelling of 2111020020120 in words is "two trillion, one hundred eleven billion, twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 37192037 74384074 111576111 148768148 185960185 223152222 297536296 371920370 409112407 446304444 557880555 743840740 818224814 892608888 1115761110 1227337221 1487681480 1599257591 1636449628 2045562035 2231522220 2454674442 3198515182 3272899256 4091124070 4463044440 4797772773 4909348884 6136686105 6397030364 7996287955 8182248140 9595545546 9818697768 12273372210 12794060728 15992575910 16364496280 17591833501 19191091092 23988863865 24546744420 31985151820 35183667002 38382182184 47977727730 49093488840 52775500503 63970303640 70367334004 87959167505 95955455460 105551001006 140734668008 175918335010 191910910920 211102002012 263877502515 351836670020 422204004024 527755005030 703673340040 1055510010060 2111020020120