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1023032133222 = 2311101953161039
BaseRepresentation
bin11101110001100010111…
…01111000011001100110
310121210121212110000120020
432320301131320121212
5113230132211230342
62101550253020010
7133624455440331
oct16706135703146
93553555400506
101023032133222
11364957a72540
1214632b484606
1375618bc8938
143772d2db618
151b9287c20ec
hexee31778666

1023032133222 has 64 divisors (see below), whose sum is σ = 2256549166080. Its totient is φ = 306616352000.

The previous prime is 1023032133091. The next prime is 1023032133257. The reversal of 1023032133222 is 2223312303201.

It is a super-2 number, since 2×10230321332222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023032133192 and 1023032133201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6272179 + ... + 6433217.

It is an arithmetic number, because the mean of its divisors is an integer number (35258580720).

Almost surely, 21023032133222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023032133222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128274583040).

1023032133222 is an abundant number, since it is smaller than the sum of its proper divisors (1233517032858).

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

1023032133222 is a wasteful number, since it uses less digits than its factorization.

1023032133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162109.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1023032133222 its reverse (2223312303201), we get a palindrome (3246344436423).

The spelling of 1023032133222 in words is "one trillion, twenty-three billion, thirty-two million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 953 1111 1906 2222 2859 3333 5718 6666 10483 20966 31449 62898 96253 161039 192506 288759 322078 483117 577518 966234 1058783 1771429 2117566 3176349 3542858 5314287 6352698 10628574 16264939 32529878 48794817 97589634 153470167 178914329 306940334 357828658 460410501 536742987 920821002 1073485974 1688171837 3376343674 5064515511 10129031022 15500486867 31000973734 46501460601 93002921202 170505355537 341010711074 511516066611 1023032133222