Search a number
-
+
2002212020120 = 2351331787157823
BaseRepresentation
bin11101001000101101001…
…000101101111110011000
321002102001121011010010012
4131020231020231332120
5230301012234120440
64131445320141052
7264440452236224
oct35105510557630
97072047133105
102002212020120
11702151540294
12284060907788
13116a66913c10
146cc9c579784
15371372c0e65
hex1d22d22df98

2002212020120 has 128 divisors (see below), whose sum is σ = 5014409379840. Its totient is φ = 714517009920.

The previous prime is 2002212020117. The next prime is 2002212020143. The reversal of 2002212020120 is 210202122002.

It is a super-2 number, since 2×20022120201202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002212020095 and 2002212020104.

It is a congruent number.

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, 12607529 + ... + 12765351.

It is an arithmetic number, because the mean of its divisors is an integer number (39175073280).

Almost surely, 22002212020120 is an apocalyptic number.

2002212020120 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 2002212020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507204689920).

2002212020120 is an abundant number, since it is smaller than the sum of its proper divisors (3012197359720).

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

2002212020120 is a wasteful number, since it uses less digits than its factorization.

2002212020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158665 (or 158661 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002212020120 its reverse (210202122002), we get a palindrome (2212414142122).

The spelling of 2002212020120 in words is "two trillion, two billion, two hundred twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 787 806 1240 1574 1612 2015 3148 3224 3935 4030 6296 7870 8060 10231 15740 16120 20462 24397 31480 40924 48794 51155 81848 97588 102310 121985 157823 195176 204620 243970 315646 317161 409240 487940 631292 634322 789115 975880 1262584 1268644 1578230 1585805 2051699 2537288 3156460 3171610 4103398 4892513 6312920 6343220 8206796 9785026 10258495 12686440 16413592 19570052 20516990 24462565 39140104 41033980 48925130 63602669 82067960 97850260 124206701 127205338 195700520 248413402 254410676 318013345 496826804 508821352 621033505 636026690 993653608 1242067010 1272053380 1614687113 2484134020 2544106760 3229374226 3850407731 4968268040 6458748452 7700815462 8073435565 12917496904 15401630924 16146871130 19252038655 30803261848 32293742260 38504077310 50055300503 64587484520 77008154620 100110601006 154016309240 200221202012 250276502515 400442404024 500553005030 1001106010060 2002212020120