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2002210022120 = 2357116311030219
BaseRepresentation
bin11101001000101101000…
…001000110001011101000
321002102001110101121101012
4131020231001012023220
5230301011231201440
64131445205243052
7264440426245160
oct35105501061350
97072043347335
102002210022120
117021503a6150
12284060103488
13116a66394679
146cc9c1b95a0
1537137028e65
hex1d22d0462e8

2002210022120 has 128 divisors (see below), whose sum is σ = 5625495705600. Its totient is φ = 623075846400.

The previous prime is 2002210022119. The next prime is 2002210022167. The reversal of 2002210022120 is 212200122002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2002210022095 and 2002210022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1428371 + ... + 2458589.

It is an arithmetic number, because the mean of its divisors is an integer number (43949185200).

Almost surely, 22002210022120 is an apocalyptic number.

2002210022120 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 2002210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812747852800).

2002210022120 is an abundant number, since it is smaller than the sum of its proper divisors (3623285683480).

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

2002210022120 is a wasteful number, since it uses less digits than its factorization.

2002210022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030879 (or 1030875 counting only the distinct ones).

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

Adding to 2002210022120 its reverse (212200122002), we get a palindrome (2214410144122).

The spelling of 2002210022120 in words is "two trillion, two billion, two hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 631 770 1262 1540 2524 3080 3155 4417 5048 6310 6941 8834 12620 13882 17668 22085 25240 27764 34705 35336 44170 48587 55528 69410 88340 97174 138820 176680 194348 242935 277640 388696 485870 971740 1030219 1943480 2060438 4120876 5151095 7211533 8241752 10302190 11332409 14423066 20604380 22664818 28846132 36057665 41208760 45329636 56662045 57692264 72115330 79326863 90659272 113324090 144230660 158653726 226648180 288461320 317307452 396634315 453296360 634614904 650068189 793268630 1300136378 1586537260 2600272756 3173074520 3250340945 4550477323 5200545512 6500681890 7150750079 9100954646 13001363780 14301500158 18201909292 22752386615 26002727560 28603000316 35753750395 36403818584 45504773230 50055250553 57206000632 71507500790 91009546460 100110501106 143015001580 182019092920 200221002212 250276252765 286030003160 400442004424 500552505530 1001105011060 2002210022120