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1020000202221 = 3711133738923599
BaseRepresentation
bin11101101011111001011…
…11111110110111101101
310121111210120022222010110
432311330233332313231
5113202430022432341
62100325344130233
7133456361444340
oct16657457766755
93544716288113
101020000202221
11363641582940
12145824006979
1375254a14520
1437522782457
151b7ec522216
hexed7cbfeded

1020000202221 has 128 divisors (see below), whose sum is σ = 1880266752000. Its totient is φ = 474648284160.

The previous prime is 1020000202183. The next prime is 1020000202237. The reversal of 1020000202221 is 1222020000201.

It is not a de Polignac number, because 1020000202221 - 222 = 1019996007917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020000202197 and 1020000202206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020000202241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43210380 + ... + 43233978.

It is an arithmetic number, because the mean of its divisors is an integer number (14689584000).

Almost surely, 21020000202221 is an apocalyptic number.

1020000202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020000202221 is a deficient number, since it is larger than the sum of its proper divisors (860266549779).

1020000202221 is a wasteful number, since it uses less digits than its factorization.

1020000202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24059.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020000202221 its reverse (1222020000201), we get a palindrome (2242020202422).

It can be divided in two parts, 1020000 and 202221, that added together give a palindrome (1222221).

The spelling of 1020000202221 in words is "one trillion, twenty billion, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 389 407 429 481 777 1001 1167 1221 1443 2723 2849 3003 3367 4279 5057 5291 8169 8547 10101 12837 14393 15171 15873 23599 29953 35399 37037 43179 55627 70797 89859 100751 106197 111111 158323 165193 166881 187109 259589 302253 306787 389389 474969 495579 561327 778767 873163 920361 1108261 1168167 1309763 1817123 2058199 2147509 2619489 3324783 3374657 3929289 5451369 6112141 6174597 6442527 9180011 9604793 10123971 11351119 14407393 18336423 23622599 27540033 28814379 34053357 43222179 64260077 67233551 70867797 79457833 100980121 119340143 124862309 192780231 201700653 238373499 302940363 339660407 358020429 374586927 706860847 835381001 874036163 1018981221 1312741573 2120582541 2377622849 2506143003 2622108489 3736264477 3938224719 4415585291 7132868547 9189191011 11208793431 13246755873 26153851339 27567573033 30909097037 48571438201 78461554017 92727291111 145714314603 340000067407 1020000202221