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2302132021002 = 2331171181301583
BaseRepresentation
bin100001100000000001110…
…000101110011100001010
322011002012112112202201000
4201200001300232130022
5300204231244133002
64521330154435430
7325215656211162
oct41400160563412
98132175482630
102302132021002
11808368567010
12312203432b76
13139122cb2968
147d5d0c155a2
153ed3c92b61c
hex21801c2e70a

2302132021002 has 128 divisors (see below), whose sum is σ = 5690817699840. Its totient is φ = 683987976000.

The previous prime is 2302132020973. The next prime is 2302132021003. The reversal of 2302132021002 is 2001202312032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2302132021003) 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, 7482703 + ... + 7784285.

It is an arithmetic number, because the mean of its divisors is an integer number (44459513280).

Almost surely, 22302132021002 is an apocalyptic number.

2302132021002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302132021002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845408849920).

2302132021002 is an abundant number, since it is smaller than the sum of its proper divisors (3388685678838).

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

2302132021002 is a wasteful number, since it uses less digits than its factorization.

2302132021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301857 (or 301851 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2302132021002 its reverse (2001202312032), we get a palindrome (4303334333034).

It can be divided in two parts, 23021 and 32021002, that added together give a palindrome (32044023).

The spelling of 2302132021002 in words is "two trillion, three hundred two billion, one hundred thirty-two million, twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 181 198 213 297 362 426 543 594 639 781 1086 1278 1562 1629 1917 1991 2343 3258 3834 3982 4686 4887 5973 7029 9774 11946 12851 14058 17919 21087 25702 35838 38553 42174 53757 77106 107514 115659 141361 231318 282722 301583 346977 424083 603166 693954 848166 904749 1272249 1809498 2544498 2714247 3317413 3816747 5428494 6634826 7633494 8142741 9952239 16285482 19904478 21412393 29856717 42824786 54586523 59713434 64237179 89570151 109173046 128474358 163759569 179140302 192711537 235536323 327519138 385423074 471072646 491278707 578134611 600451753 706608969 982557414 1156269222 1200903506 1413217938 1473836121 1801355259 2119826907 2947672242 3602710518 3875643133 4239653814 5404065777 6359480721 7751286266 10808131554 11626929399 12718961442 16212197331 23253858798 32424394662 34880788197 42632074463 69761576394 85264148926 104642364591 127896223389 209284729182 255792446778 383688670167 767377340334 1151066010501 2302132021002