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127140730002 = 234111337148331
BaseRepresentation
bin111011001101000101…
…1011001010010010010
3110011011122201021120000
41312122023121102102
54040341011330002
6134224015030430
712120444242136
oct1663213312222
9404148637500
10127140730002
1149a1369a280
122078320b416
13bcb26c49b0
1462218573c6
153491d1c61c
hex1d9a2d9492

127140730002 has 160 divisors (see below), whose sum is σ = 343743390144. Its totient is φ = 34602422400.

The previous prime is 127140729953. The next prime is 127140730061. The reversal of 127140730002 is 200037041721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 782977 + ... + 931307.

Almost surely, 2127140730002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127140730002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171871695072).

127140730002 is an abundant number, since it is smaller than the sum of its proper divisors (216602660142).

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

127140730002 is a wasteful number, since it uses less digits than its factorization.

127140730002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148406 (or 148397 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 127140730002 its reverse (200037041721), we get a palindrome (327177771723).

The spelling of 127140730002 in words is "one hundred twenty-seven billion, one hundred forty million, seven hundred thirty thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 37 39 54 66 74 78 81 99 111 117 143 162 198 222 234 286 297 333 351 407 429 481 594 666 702 814 858 891 962 999 1053 1221 1287 1443 1782 1998 2106 2442 2574 2886 2997 3663 3861 4329 5291 5994 7326 7722 8658 10582 10989 11583 12987 15873 21978 23166 25974 31746 32967 38961 47619 65934 77922 95238 142857 148331 285714 296662 428571 444993 857142 889986 1334979 1631641 1928303 2669958 3263282 3856606 4004937 4894923 5488247 5784909 8009874 9789846 10976494 11569818 12014811 14684769 16464741 17354727 21211333 24029622 29369538 32929482 34709454 42422666 44054307 49394223 52064181 60370717 63633999 71347211 88108614 98788446 104128362 120741434 127267998 132162921 142694422 148182669 156192543 181112151 190901997 214041633 264325842 296365338 312385086 362224302 381803994 428083266 444548007 543336453 572705991 642124899 784819321 889096014 1086672906 1145411982 1284249798 1569638642 1630009359 1718117973 1926374697 2354457963 3260018718 3436235946 3852749394 4708915926 4890028077 5779124091 7063373889 9780056154 11558248182 14126747778 21190121667 42380243334 63570365001 127140730002