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1020211001200 = 245217914248757
BaseRepresentation
bin11101101100010010101…
…00000111011101110000
310121112100020222122222001
432312021110013131300
5113203343004014300
62100402314223344
7133464531266536
oct16661124073560
93545306878861
101020211001200
1136373a571276
12145882724b54
13752895acc51
1437542776156
151b810cb116a
hexed89507770

1020211001200 has 60 divisors (see below), whose sum is σ = 2464750158840. Its totient is φ = 405804570880.

The previous prime is 1020211001189. The next prime is 1020211001221. The reversal of 1020211001200 is 21001120201.

1020211001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7052779 + ... + 7195978.

It is an arithmetic number, because the mean of its divisors is an integer number (41079169314).

Almost surely, 21020211001200 is an apocalyptic number.

1020211001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020211001200 is an abundant number, since it is smaller than the sum of its proper divisors (1444539157640).

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

1020211001200 is a wasteful number, since it uses less digits than its factorization.

1020211001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14248954 (or 14248943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020211001200 its reverse (21001120201), we get a palindrome (1041212121401).

The spelling of 1020211001200 in words is "one trillion, twenty billion, two hundred eleven million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 35800 71600 14248757 28497514 56995028 71243785 113990056 142487570 227980112 284975140 356218925 569950280 712437850 1139900560 1424875700 2550527503 2849751400 5101055006 5699502800 10202110012 12752637515 20404220024 25505275030 40808440048 51010550060 63763187575 102021100120 127526375150 204042200240 255052750300 510105500600 1020211001200