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1012045100 = 2252111396619
BaseRepresentation
bin111100010100101…
…001010100101100
32121112100012212212
4330110221110230
54033040420400
6244231345552
734036145543
oct7424512454
92545305785
101012045100
1147a300510
12242b222b8
13131896871
14985a515a
155dcb0335
hex3c52952c

1012045100 has 72 divisors (see below), whose sum is σ = 2413387200. Its totient is φ = 365313600.

The previous prime is 1012045087. The next prime is 1012045121. The reversal of 1012045100 is 15402101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149591 + ... + 156209.

Almost surely, 21012045100 is an apocalyptic number.

1012045100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206693600).

1012045100 is an abundant number, since it is smaller than the sum of its proper divisors (1401342100).

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

1012045100 is a wasteful number, since it uses less digits than its factorization.

1012045100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6776 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1012045100 is about 31812.6562864530. The cubic root of 1012045100 is about 1003.9990198559. Note that the first 3 decimals are identical.

Adding to 1012045100 its reverse (15402101), we get a palindrome (1027447201).

The spelling of 1012045100 in words is "one billion, twelve million, forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 1100 1390 1529 2780 3058 3475 6116 6619 6950 7645 13238 13900 15290 26476 30580 33095 38225 66190 72809 76450 132380 145618 152900 165475 291236 330950 364045 661900 728090 920041 1456180 1820225 1840082 3640450 3680164 4600205 7280900 9200410 10120451 18400820 20240902 23001025 40481804 46002050 50602255 92004100 101204510 202409020 253011275 506022550 1012045100