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1020630356152 = 2311103511921997
BaseRepresentation
bin11101101101000100100…
…11110101000010111000
310121120102111002002210221
432312202103311002320
5113210222332344102
62100512054345424
7133511112612661
oct16664223650270
93546374062727
101020630356152
11363935256910
1214597b05b274
137532543a184
1437582338368
151b8379e9637
hexeda24f50b8

1020630356152 has 64 divisors (see below), whose sum is σ = 2108429107200. Its totient is φ = 459308154240.

The previous prime is 1020630356147. The next prime is 1020630356153. The reversal of 1020630356152 is 2516530360201.

1020630356152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020630356153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46387618 + ... + 46409614.

It is an arithmetic number, because the mean of its divisors is an integer number (32944204800).

Almost surely, 21020630356152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020630356152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054214553600).

1020630356152 is an abundant number, since it is smaller than the sum of its proper divisors (1087798751048).

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

1020630356152 is a wasteful number, since it uses less digits than its factorization.

1020630356152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27236 (or 27232 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 1020630356152 in words is "one trillion, twenty billion, six hundred thirty million, three hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 103 206 412 824 1133 2266 4532 5119 9064 10238 20476 21997 40952 43994 56309 87988 112618 175976 225236 241967 450472 483934 527257 967868 1054514 1935736 2109028 2265691 4218056 4531382 5799827 9062764 11599654 18125528 23199308 24922601 46398616 49845202 99690404 112602643 199380808 225205286 450410572 900821144 1238629073 2477258146 4954516292 9909032584 11598072229 23196144458 46392288916 92784577832 127578794519 255157589038 510315178076 1020630356152