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1022202221121 = 33614018291867
BaseRepresentation
bin11101110000000000000…
…00000001001001000001
310121201111000211010012000
432320000000001021001
5113221432232033441
62101332045054213
7133565060342454
oct16700000011101
93551430733160
101022202221121
11364571561274
12146139557369
1375515ca1aa3
1437690dc749b
151b8ca9dc2b6
hexee00001241

1022202221121 has 64 divisors (see below), whose sum is σ = 1545726662400. Its totient is φ = 667460736000.

The previous prime is 1022202221101. The next prime is 1022202221143. The reversal of 1022202221121 is 1211222022201.

It is a happy number.

1022202221121 is a `hidden beast` number, since 102 + 220 + 2 + 221 + 121 = 666.

It is not a de Polignac number, because 1022202221121 - 27 = 1022202220993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022202221094 and 1022202221103.

It is not an unprimeable number, because it can be changed into a prime (1022202221101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 547509630 + ... + 547511496.

It is an arithmetic number, because the mean of its divisors is an integer number (24151979100).

Almost surely, 21022202221121 is an apocalyptic number.

It is an amenable number.

1022202221121 is a deficient number, since it is larger than the sum of its proper divisors (523524441279).

1022202221121 is a wasteful number, since it uses less digits than its factorization.

1022202221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022202221121 its reverse (1211222022201), we get a palindrome (2233424243322).

The spelling of 1022202221121 in words is "one trillion, twenty-two billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 61 183 401 549 829 1203 1647 1867 2487 3609 5601 7461 10827 16803 22383 24461 50409 50569 73383 113887 151707 220149 332429 341661 455121 660447 748667 997287 1024983 1365363 1547743 2246001 2991861 3074949 4643229 6738003 8975583 13929687 20214009 20278169 41789061 45668687 60834507 94412323 137006061 182503521 283236969 411018183 547510563 620644943 849710907 1233054549 1861934829 2549132721 5585804487 16757413461 37859341523 113578024569 340734073707 1022202221121