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1020000021210 = 2325127457195271
BaseRepresentation
bin11101101011111001011…
…11010010101011011010
310121111210112222202211100
432311330233102223122
5113202430001134320
62100325340212230
7133456360061532
oct16657457225332
93544715882740
101020000021210
11363641469945
12145823b3a076
1375254980011
14375227364c2
151b7ec4d8790
hexed7cbd2ada

1020000021210 has 96 divisors (see below), whose sum is σ = 2678744420352. Its totient is φ = 269266394880.

The previous prime is 1020000021169. The next prime is 1020000021247. The reversal of 1020000021210 is 121200000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020000021192 and 1020000021201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5125875 + ... + 5321145.

It is an arithmetic number, because the mean of its divisors is an integer number (27903587712).

Almost surely, 21020000021210 is an apocalyptic number.

1020000021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020000021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339372210176).

1020000021210 is an abundant number, since it is smaller than the sum of its proper divisors (1658744399142).

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

1020000021210 is a wasteful number, since it uses less digits than its factorization.

1020000021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195868 (or 195865 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020000021210 its reverse (121200000201), we get a palindrome (1141200021411).

The spelling of 1020000021210 in words is "one trillion, twenty billion, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 457 635 762 914 1143 1270 1371 1905 2285 2286 2742 3810 4113 4570 5715 6855 8226 11430 13710 20565 41130 58039 116078 174117 195271 290195 348234 390542 522351 580390 585813 870585 976355 1044702 1171626 1741170 1757439 1952710 2611755 2929065 3514878 5223510 5858130 8787195 17574390 24799417 49598834 74398251 89238847 123997085 148796502 178477694 223194753 247994170 267716541 371991255 446194235 446389506 535433082 743982510 803149623 892388470 1115973765 1338582705 1606299246 2231947530 2677165410 4015748115 8031496230 11333333569 22666667138 34000000707 56666667845 68000001414 102000002121 113333335690 170000003535 204000004242 340000007070 510000010605 1020000021210