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3042100021002 = 237231992933617
BaseRepresentation
bin101100010001001011010…
…010101000011100001010
3101202211012011212221012020
4230101023102220130022
5344320210101133002
610245304345025310
7432533034350100
oct54211322503412
911684164787166
103042100021002
11a73169177669
124116b5185236
13190b3a9a9a33
14a734a357c70
15541ea7992bc
hex2c44b4a870a

3042100021002 has 96 divisors (see below), whose sum is σ = 7306799685120. Its totient is φ = 841023912960.

The previous prime is 3042100020989. The next prime is 3042100021007. The reversal of 3042100021002 is 2001200012403.

It is not an unprimeable number, because it can be changed into a prime (3042100021007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90476098 + ... + 90509714.

It is an arithmetic number, because the mean of its divisors is an integer number (76112496720).

Almost surely, 23042100021002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042100021002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653399842560).

3042100021002 is an abundant number, since it is smaller than the sum of its proper divisors (4264699664118).

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

3042100021002 is a wasteful number, since it uses less digits than its factorization.

3042100021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43596 (or 43589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 3042100021002 its reverse (2001200012403), we get a palindrome (5043300033405).

The spelling of 3042100021002 in words is "three trillion, forty-two billion, one hundred million, twenty-one thousand, two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 9929 19858 29787 33617 59574 67234 69503 100851 139006 201702 208509 235319 307799 417018 470638 486521 615598 705957 923397 973042 1042127 1411914 1459563 1647233 1846794 2084254 2154593 2919126 3126381 3294466 4309186 4941699 6252762 6463779 7294889 9883398 12927558 14589778 15082151 21884667 30164302 43769334 45246453 51064223 90492906 102128446 153192669 306385338 333783193 667566386 1001349579 2002699158 2336482351 4672964702 7009447053 10347278983 14018894106 16355376457 20694557966 31041836949 32710752914 49066129371 62083673898 72430952881 98132258742 144861905762 217292858643 434585717286 507016670167 1014033340334 1521050010501 3042100021002