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2102103102033 = 32111718149913829
BaseRepresentation
bin11110100101101111000…
…110111101001001010001
321102221220011211211211200
4132211233012331021101
5233420101343231113
64245405352501413
7304605034360254
oct36455706751121
97387804754750
102102103102033
11740551443640
1229b49a0aa869
131232c59a988c
1473a56d6709b
1539a31b93873
hex1e96f1bd251

2102103102033 has 96 divisors (see below), whose sum is σ = 3533952240000. Its totient is φ = 1189960243200.

The previous prime is 2102103102023. The next prime is 2102103102053. The reversal of 2102103102033 is 3302013012012.

It is not a de Polignac number, because 2102103102033 - 221 = 2102101004881 is a prime.

It is a super-2 number, since 2×21021031020332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102103101997 and 2102103102015.

It is not an unprimeable number, because it can be changed into a prime (2102103102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151999963 + ... + 152013791.

It is an arithmetic number, because the mean of its divisors is an integer number (36812002500).

Almost surely, 22102103102033 is an apocalyptic number.

It is an amenable number.

2102103102033 is a deficient number, since it is larger than the sum of its proper divisors (1431849137967).

2102103102033 is a wasteful number, since it uses less digits than its factorization.

2102103102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14543 (or 14540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2102103102033 its reverse (3302013012012), we get a palindrome (5404116114045).

The spelling of 2102103102033 in words is "two trillion, one hundred two billion, one hundred three million, one hundred two thousand, thirty-three".

Divisors: 1 3 9 11 17 33 51 99 153 181 187 499 543 561 1497 1629 1683 1991 3077 4491 5489 5973 8483 9231 13829 16467 17919 25449 27693 33847 41487 49401 76347 90319 93313 101541 124461 152119 235093 270957 279939 304623 456357 705279 812871 839817 993509 1369071 1535423 2115837 2503049 2586023 2980527 4606269 6900671 7509147 7758069 8941581 13818807 16889653 20702013 22527441 23274207 27533539 42551833 50668959 62106039 75907381 82600617 117311407 127655499 152006877 227722143 247801851 351934221 382966497 468070163 683166429 1055802663 1249021451 1290425477 1404210489 3747064353 3871276431 4212631467 11241193059 11613829293 13739235961 21233364667 41217707883 63700094001 123653123649 191100282003 233567011337 700701034011 2102103102033