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202000201012120 = 2357331474936991
BaseRepresentation
bin101101111011011111010110…
…001110011101001110011000
3222111020000211022201101022211
4231323133112032131032120
5202434032402424341440
61553341340010524504
760356014201354000
oct5573372616351630
9874200738641284
10202000201012120
11593aa893378555
121a7a4baa736734
1388936ca373124
1437c4c0d07b000
15185474ea25eea
hexb7b7d639d398

202000201012120 has 128 divisors (see below), whose sum is σ = 547127414784000. Its totient is φ = 67023108028800.

The previous prime is 202000201012109. The next prime is 202000201012283. The reversal of 202000201012120 is 21210102000202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202000201012120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237043176 + ... + 237893815.

It is an arithmetic number, because the mean of its divisors is an integer number (4274432928000).

Almost surely, 2202000201012120 is an apocalyptic number.

202000201012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000201012120 is an abundant number, since it is smaller than the sum of its proper divisors (345127213771880).

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

202000201012120 is a wasteful number, since it uses less digits than its factorization.

202000201012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474937054 (or 474937036 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202000201012120 its reverse (21210102000202), we get a palindrome (223210303012322).

The spelling of 202000201012120 in words is "two hundred two trillion, two hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 343 392 434 490 620 686 868 980 1085 1240 1372 1519 1715 1736 1960 2170 2744 3038 3430 4340 6076 6860 7595 8680 10633 12152 13720 15190 21266 30380 42532 53165 60760 85064 106330 212660 425320 474936991 949873982 1899747964 2374684955 3324558937 3799495928 4749369910 6649117874 9498739820 13298235748 14723046721 16622794685 18997479640 23271912559 26596471496 29446093442 33245589370 46543825118 58892186884 66491178740 73615233605 93087650236 103061327047 116359562795 117784373768 132982357480 147230467210 162903387913 186175300472 206122654094 232719125590 294460934420 325806775826 412245308188 465438251180 515306635235 588921868840 651613551652 721429289329 814516939565 824490616376 930876502360 1030613270470 1303227103304 1442858578658 1629033879130 2061226540940 2885717157316 3258067758260 3607146446645 4122453081880 5050005025303 5771434314632 6516135516520 7214292893290 10100010050606 14428585786580 20200020101212 25250025126515 28857171573160 40400040202424 50500050253030 101000100506060 202000201012120