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1013211444 = 223735933599
BaseRepresentation
bin111100011001000…
…110000100110100
32121121112110210210
4330121012010310
54033340231234
6244312345420
734052104140
oct7431060464
92547473723
101013211444
1147aa27833
122433a5270
13131bb46cb
14987ca220
155de40be9
hex3c646134

1013211444 has 48 divisors (see below), whose sum is σ = 2709504000. Its totient is φ = 288674016.

The previous prime is 1013211413. The next prime is 1013211469. The reversal of 1013211444 is 4441123101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1013211444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13357 + ... + 46955.

It is an arithmetic number, because the mean of its divisors is an integer number (56448000).

Almost surely, 21013211444 is an apocalyptic number.

1013211444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1013211444 is an abundant number, since it is smaller than the sum of its proper divisors (1696292556).

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

1013211444 is a wasteful number, since it uses less digits than its factorization.

1013211444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33972 (or 33970 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1013211444 is about 31830.9824542065. The cubic root of 1013211444 is about 1004.3845621843.

Adding to 1013211444 its reverse (4441123101), we get a palindrome (5454334545).

The spelling of 1013211444 in words is "one billion, thirteen million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 359 718 1077 1436 2154 2513 4308 5026 7539 10052 15078 30156 33599 67198 100797 134396 201594 235193 403188 470386 705579 940772 1411158 2822316 12062041 24124082 36186123 48248164 72372246 84434287 144744492 168868574 253302861 337737148 506605722 1013211444