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2212001021020 = 225726169153549
BaseRepresentation
bin100000001100000101100…
…010001111110001011100
321211110120011011120101111
4200030011202033301130
5242220134230133040
64412102414351404
7315545306310400
oct40140542176134
97743504146344
102212001021020
11783116a0077a
122b884a7bb564
1313078acb49cb
14790c0777100
153c814d24dea
hex2030588fc5c

2212001021020 has 144 divisors (see below), whose sum is σ = 5500237024800. Its totient is φ = 744874099200.

The previous prime is 2212001020991. The next prime is 2212001021029. The reversal of 2212001021020 is 201201002122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212001021029) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41281206 + ... + 41334754.

It is an arithmetic number, because the mean of its divisors is an integer number (38196090450).

Almost surely, 22212001021020 is an apocalyptic number.

2212001021020 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 2212001021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750118512400).

2212001021020 is an abundant number, since it is smaller than the sum of its proper divisors (3288236003780).

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

2212001021020 is a wasteful number, since it uses less digits than its factorization.

2212001021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54324 (or 54315 counting only the distinct ones).

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

Adding to 2212001021020 its reverse (201201002122), we get a palindrome (2413202023142).

The spelling of 2212001021020 in words is "two trillion, two hundred twelve billion, one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 691 854 980 1220 1382 1708 2135 2764 2989 3455 4270 4837 5978 6910 8540 9674 11956 13820 14945 19348 24185 29890 33859 42151 48370 53549 59780 67718 84302 96740 107098 135436 168604 169295 210755 214196 267745 295057 338590 374843 421510 535490 590114 677180 749686 843020 1070980 1180228 1475285 1499372 1874215 2065399 2623901 2950570 3266489 3748430 4130798 5247802 5901140 6532978 7496860 8261596 10326995 10495604 13065956 13119505 16332445 20653990 22865423 26239010 32664890 37002359 41307980 45730846 52478020 65329780 74004718 91461692 114327115 148009436 160057961 185011795 228654230 259016513 320115922 370023590 457308460 518033026 640231844 740047180 800289805 1036066052 1295082565 1600579610 1813115591 2257143899 2590165130 3201159220 3626231182 4514287798 5180330260 7252462364 9028575596 9065577955 11285719495 15800007293 18131155910 22571438990 31600014586 36262311820 45142877980 63200029172 79000036465 110600051051 158000072930 221200102102 316000145860 442400204204 553000255255 1106000510510 2212001021020