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232000020210100 = 225229349229226381
BaseRepresentation
bin110100110000000010110110…
…110010101110000110110100
31010102102222121022012110001211
4310300002312302232012310
5220402042020133210400
62141231200554531204
766603306530214502
oct6460026662560664
91112388538173054
10232000020210100
1167a167241a934a
122202b1a9436b04
139c5b67b1ba41c
144140c0a401672
151bc4cbd9d8dba
hexd300b6cae1b4

232000020210100 has 72 divisors (see below), whose sum is σ = 522292311387000. Its totient is φ = 89343273868800.

The previous prime is 232000020210037. The next prime is 232000020210131. The reversal of 232000020210100 is 1012020000232.

It can be written as a sum of positive squares in 12 ways, for example, as 27076557948196 + 204923462261904 = 5203514^2 + 14315148^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113601091 + ... + 115625290.

It is an arithmetic number, because the mean of its divisors is an integer number (7254059880375).

Almost surely, 2232000020210100 is an apocalyptic number.

232000020210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232000020210100 is an abundant number, since it is smaller than the sum of its proper divisors (290292291176900).

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

232000020210100 is a wasteful number, since it uses less digits than its factorization.

232000020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229226773 (or 229226766 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 232000020210100 its reverse (1012020000232), we get a palindrome (233012040210332).

The spelling of 232000020210100 in words is "two hundred thirty-two trillion, twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 349 580 698 725 1396 1450 1745 2900 3490 6980 8725 10121 17450 20242 34900 40484 50605 101210 202420 253025 506050 1012100 229226381 458452762 916905524 1146131905 2292263810 4584527620 5730659525 6647565049 11461319050 13295130098 22922638100 26590260196 33237825245 66475650490 80000006969 132951300980 160000013938 166189126225 320000027876 332378252450 400000034845 664756504900 800000069690 1600000139380 2000000174225 2320000202101 4000000348450 4640000404202 8000000696900 9280000808404 11600001010505 23200002021010 46400004042020 58000005052525 116000010105050 232000020210100