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101402230141000 = 23532712771350823
BaseRepresentation
bin10111000011100110001011…
…111010000011000001001000
3111022000221212202201020002101
4113003212023322003001020
5101242333231404003000
6555355312541043144
730234032535525145
oct2703461372030110
9438027782636071
10101402230141000
112a3454984003a8
12b4585218564b4
13447725caa5679
141b07c736a33cc
15baca88601e6a
hex5c398be83048

101402230141000 has 128 divisors (see below), whose sum is σ = 239016743746560. Its totient is φ = 40265302176000.

The previous prime is 101402230140983. The next prime is 101402230141013. The reversal of 101402230141000 is 141032204101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74391589 + ... + 75742411.

It is an arithmetic number, because the mean of its divisors is an integer number (1867318310520).

Almost surely, 2101402230141000 is an apocalyptic number.

101402230141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101402230141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508371873280).

101402230141000 is an abundant number, since it is smaller than the sum of its proper divisors (137614513605560).

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

101402230141000 is a wasteful number, since it uses less digits than its factorization.

101402230141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351392 (or 1351378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101402230141000 its reverse (141032204101), we get a palindrome (101543262345101).

The spelling of 101402230141000 in words is "one hundred one trillion, four hundred two billion, two hundred thirty million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 271 277 500 542 554 1000 1084 1108 1355 1385 2168 2216 2710 2770 5420 5540 6775 6925 10840 11080 13550 13850 27100 27700 33875 34625 54200 55400 67750 69250 75067 135500 138500 150134 271000 277000 300268 375335 600536 750670 1350823 1501340 1876675 2701646 3002680 3753350 5403292 6754115 7506700 9383375 10806584 13508230 15013400 18766750 27016460 33770575 37533500 54032920 67541150 75067000 135082300 168852875 270164600 337705750 366073033 374177971 675411500 732146066 748355942 1350823000 1464292132 1496711884 1830365165 1870889855 2928584264 2993423768 3660730330 3741779710 7321460660 7483559420 9151825825 9354449275 14642921320 14967118840 18303651650 18708898550 36607303300 37417797100 45759129125 46772246375 73214606600 74835594200 91518258250 93544492750 101402230141 183036516500 187088985500 202804460282 366073033000 374177971000 405608920564 507011150705 811217841128 1014022301410 2028044602820 2535055753525 4056089205640 5070111507050 10140223014100 12675278767625 20280446028200 25350557535250 50701115070500 101402230141000