Search a number
-
+
12003100020219 = 3711611974323997
BaseRepresentation
bin1010111010101011000010…
…0000110100110111111011
31120111111002200022110002010
42232222300200310313323
53033124322101121334
641310051550141003
72346124002523230
oct256526040646773
946444080273063
1012003100020219
11390853904a990
12141a345ab1763
13690b6ca23b89
142d6d4b5bd787
1515c3651700e9
hexaeab0834dfb

12003100020219 has 64 divisors (see below), whose sum is σ = 20383257388032. Its totient is φ = 6102023155200.

The previous prime is 12003100020209. The next prime is 12003100020283. The reversal of 12003100020219 is 91202000130021.

It is not a de Polignac number, because 12003100020219 - 25 = 12003100020187 is a prime.

It is a super-2 number, since 2×120031000202192 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12003100020195 and 12003100020204.

It is not an unprimeable number, because it can be changed into a prime (12003100020209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613929 + ... + 4937925.

It is an arithmetic number, because the mean of its divisors is an integer number (318488396688).

Almost surely, 212003100020219 is an apocalyptic number.

12003100020219 is a deficient number, since it is larger than the sum of its proper divisors (8380157367813).

12003100020219 is a wasteful number, since it uses less digits than its factorization.

12003100020219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324276.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 12003100020219 in words is "twelve trillion, three billion, one hundred million, twenty thousand, two hundred nineteen".

Divisors: 1 3 7 11 21 33 61 77 183 197 231 427 591 671 1281 1379 2013 2167 4137 4697 6501 12017 14091 15169 36051 45507 84119 132187 252357 396561 925309 2775927 4323997 12971991 30267979 47563967 90803937 142691901 263763817 332947769 791291451 851827409 998843307 1846346719 2555482227 2901401987 5539040157 5962791863 8704205961 9370101499 17888375589 20309813909 28110304497 51961471949 60929441727 65590710493 155884415847 196772131479 363730303643 571576191439 1091190910929 1714728574317 4001033340073 12003100020219