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1001201102202 = 237295361325301
BaseRepresentation
bin11101001000111000011…
…11000110110101111010
310112201021102111201221210
432210130033012311322
5112400424440232302
62043540114143550
7132222460644510
oct16443417066572
93481242451853
101001201102202
11356674a14844
12142058281bb6
137354a0878c2
143665bb824b0
151b09be1d66c
hexe91c3c6d7a

1001201102202 has 128 divisors (see below), whose sum is σ = 2416069762560. Its totient is φ = 270529459200.

The previous prime is 1001201102183. The next prime is 1001201102233. The reversal of 1001201102202 is 2022011021001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39558952 + ... + 39584252.

It is an arithmetic number, because the mean of its divisors is an integer number (18875545020).

Almost surely, 21001201102202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001201102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208034881280).

1001201102202 is an abundant number, since it is smaller than the sum of its proper divisors (1414868660358).

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

1001201102202 is a wasteful number, since it uses less digits than its factorization.

1001201102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26008.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001201102202 its reverse (2022011021001), we get a palindrome (3023212123203).

The spelling of 1001201102202 in words is "one trillion, one billion, two hundred one million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 29 42 53 58 87 106 159 174 203 318 371 406 609 613 742 1113 1218 1226 1537 1839 2226 3074 3678 4291 4611 8582 9222 10759 12873 17777 21518 25301 25746 32277 32489 35554 50602 53331 64554 64978 75903 97467 106662 124439 151806 177107 194934 227423 248878 354214 373317 454846 531321 682269 733729 746634 942181 1062642 1340953 1364538 1467458 1884362 2201187 2681906 2826543 4022859 4402374 5136103 5653086 6595267 8045718 9386671 10272206 13190534 15408309 15509513 18773342 19785801 28160013 30816618 31019026 38887637 39571602 46528539 56320026 77775274 93057078 108566591 116662911 217133182 233325822 272213459 325699773 449775877 544426918 651399546 816640377 822004189 899551754 1349327631 1633280754 1644008378 2466012567 2698655262 3148431139 4932025134 5754029323 6296862278 9445293417 11508058646 17262087969 18890586834 23838121481 34524175938 47676242962 71514364443 143028728886 166866850367 333733700734 500600551101 1001201102202