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330101133002221 = 71716345742718719
BaseRepresentation
bin100101100001110011010100…
…0110001011100010111101101
31121021210100201112020011110011
41023003212220301130113231
5321231334110022032341
63130022211134413221
7126350006542412260
oct11303465061342755
91537710645204404
10330101133002221
11961a9116951a49
1231033989661211
1311226531cbaac9
145b72da14d2cd7
152826a4c076b81
hex12c39a8c5c5ed

330101133002221 has 64 divisors (see below), whose sum is σ = 402920669675520. Its totient is φ = 263995078072320.

The previous prime is 330101133002197. The next prime is 330101133002273. The reversal of 330101133002221 is 122200331101033.

It is not a de Polignac number, because 330101133002221 - 25 = 330101133002189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330101133002192 and 330101133002201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330101133002521) 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, 37859971900 + ... + 37859980618.

It is an arithmetic number, because the mean of its divisors is an integer number (6295635463680).

Almost surely, 2330101133002221 is an apocalyptic number.

It is an amenable number.

330101133002221 is a deficient number, since it is larger than the sum of its proper divisors (72819536673299).

330101133002221 is a wasteful number, since it uses less digits than its factorization.

330101133002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 330101133002221 its reverse (122200331101033), we get a palindrome (452301464103254).

The spelling of 330101133002221 in words is "three hundred thirty trillion, one hundred one billion, one hundred thirty-three million, two thousand, two hundred twenty-one".

Divisors: 1 7 17 119 163 457 1141 2771 3199 4271 7769 8719 19397 29897 54383 61033 72607 74491 148223 508249 521437 696173 1037561 1266347 1421197 1951847 3984583 4873211 8864429 9948379 11834941 13662929 24160349 27892081 33181399 37238849 67737911 82844587 169122443 232269793 260671943 318151061 474165377 633060433 649487029 2227057427 4431423031 4546409203 5408568037 6069932387 11041279493 17018153993 37859976259 42489526709 77288956451 103188850579 119127077951 289308617881 722321954053 2025160325167 2773959100859 19417713706013 47157304714603 330101133002221