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200103005155140 = 2232512757115329969
BaseRepresentation
bin101101011111111000011100…
…100010100110111101000100
3222020111122211111000002200100
4231133320130202212331010
5202211441423304431030
61545330015043244100
760101652002556333
oct5537703442467504
9866448744002610
10200103005155140
115883923180aa3a
121a539377679630
13878682b569419
14375b073c2dd1a
15182021203a360
hexb5fe1c8a6f44

200103005155140 has 144 divisors (see below), whose sum is σ = 612829899601920. Its totient is φ = 52847918484480.

The previous prime is 200103005155133. The next prime is 200103005155153. The reversal of 200103005155140 is 41551500301002.

200103005155140 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 3 + 0 + 0 + 515 + 5 + 140 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5388076 + ... + 20718044.

It is an arithmetic number, because the mean of its divisors is an integer number (4255763191680).

Almost surely, 2200103005155140 is an apocalyptic number.

200103005155140 is a gapful number since it is divisible by the number (20) 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 200103005155140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306414949800960).

200103005155140 is an abundant number, since it is smaller than the sum of its proper divisors (412726894446780).

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

200103005155140 is a wasteful number, since it uses less digits than its factorization.

200103005155140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15330682 (or 15330677 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 200103005155140 its reverse (41551500301002), we get a palindrome (241654505456142).

The spelling of 200103005155140 in words is "two hundred trillion, one hundred three billion, five million, one hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 571 635 762 1142 1143 1270 1524 1713 1905 2284 2286 2540 2855 3426 3810 4572 5139 5710 5715 6852 7620 8565 10278 11420 11430 17130 20556 22860 25695 34260 51390 72517 102780 145034 217551 290068 362585 435102 652653 725170 870204 1087755 1305306 1450340 2175510 2610612 3263265 4351020 6526530 13053060 15329969 30659938 45989907 61319876 76649845 91979814 137969721 153299690 183959628 229949535 275939442 306599380 459899070 551878884 689848605 919798140 1379697210 1946906063 2759394420 3893812126 5840718189 7787624252 8753412299 9734530315 11681436378 17506824598 17522154567 19469060630 23362872756 26260236897 29203590945 35013649196 35044309134 38938121260 43767061495 52520473794 58407181890 70088618268 78780710691 87534122990 87610772835 105040947588 116814363780 131301184485 157561421382 175068245980 175221545670 262602368970 315122842764 350443091340 393903553455 525204737940 787807106910 1111683361973 1575614213820 2223366723946 3335050085919 4446733447892 5558416809865 6670100171838 10005150257757 11116833619730 13340200343676 16675250429595 20010300515514 22233667239460 33350500859190 40020601031028 50025751288785 66701001718380 100051502577570 200103005155140