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200202101210120 = 235435312203179969
BaseRepresentation
bin101101100001010100101111…
…001000000011110000001000
3222020212010121122201021110212
4231201110233020003300020
5202220102400402210440
61545443324155500252
760112060462255532
oct5541245710036010
9866763548637425
10200202101210120
1158877263969839
121a554612757688
138792c91a00949
143761b94bc8852
151822ab1c19465
hexb6152f203c08

200202101210120 has 128 divisors (see below), whose sum is σ = 469668313699200. Its totient is φ = 76735959465984.

The previous prime is 200202101210119. The next prime is 200202101210141. The reversal of 200202101210120 is 21012101202002.

It is a junction number, because it is equal to n+sod(n) for n = 200202101210095 and 200202101210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112335496 + ... + 1112515464.

It is an arithmetic number, because the mean of its divisors is an integer number (3669283700775).

Almost surely, 2200202101210120 is an apocalyptic number.

200202101210120 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 200202101210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234834156849600).

200202101210120 is an abundant number, since it is smaller than the sum of its proper divisors (269466212489080).

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

200202101210120 is a wasteful number, since it uses less digits than its factorization.

200202101210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192279 (or 192275 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200202101210120 its reverse (21012101202002), we get a palindrome (221214202412122).

The spelling of 200202101210120 in words is "two hundred trillion, two hundred two billion, one hundred one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 53 86 106 172 212 215 265 344 424 430 530 860 1060 1720 2120 2279 4558 9116 11395 12203 18232 22790 24406 45580 48812 61015 91160 97624 122030 179969 244060 359938 488120 524729 646759 719876 899845 1049458 1293518 1439752 1799690 2098916 2587036 2623645 3233795 3599380 4197832 5174072 5247290 6467590 7198760 7738667 9538357 10494580 12935180 15477334 19076714 20989160 25870360 27810637 30954668 38153428 38693335 47691785 55621274 61909336 76306856 77386670 95383570 111242548 139053185 154773340 190767140 222485096 278106370 309546680 381534280 410149351 556212740 820298702 1112425480 1640597404 2050746755 2196161707 3281194808 4101493510 4392323414 8202987020 8784646828 10980808535 16405974040 17569293656 21961617070 43923234140 87846468280 94434953401 116396570471 188869906802 232793140942 377739813604 465586281884 472174767005 581982852355 755479627208 931172563768 944349534010 1163965704710 1888699068020 2327931409420 3777398136040 4655862818840 5005052530253 10010105060506 20020210121012 25025262651265 40040420242024 50050525302530 100101050605060 200202101210120