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1101972630 = 2351126312697
BaseRepresentation
bin100000110101110…
…1100010010010110
32211210120000021010
41001223230102112
54224101111010
6301203033050
736210420123
oct10153542226
92753500233
101101972630
11516042390
1226906b786
131473c1815
14a64d374a
1566b25620
hex41aec496

1101972630 has 64 divisors (see below), whose sum is σ = 2896363008. Its totient is φ = 266108160.

The previous prime is 1101972617. The next prime is 1101972631. The reversal of 1101972630 is 362791011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101972631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80442 + ... + 93138.

It is an arithmetic number, because the mean of its divisors is an integer number (45255672).

Almost surely, 21101972630 is an apocalyptic number.

1101972630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101972630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448181504).

1101972630 is an abundant number, since it is smaller than the sum of its proper divisors (1794390378).

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

1101972630 is a wasteful number, since it uses less digits than its factorization.

1101972630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12981.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1101972630 is about 33195.9730991577. The cubic root of 1101972630 is about 1032.8968096076.

The spelling of 1101972630 in words is "one billion, one hundred one million, nine hundred seventy-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 263 330 526 789 1315 1578 2630 2893 3945 5786 7890 8679 12697 14465 17358 25394 28930 38091 43395 63485 76182 86790 126970 139667 190455 279334 380910 419001 698335 838002 1396670 2095005 3339311 4190010 6678622 10017933 16696555 20035866 33393110 36732421 50089665 73464842 100179330 110197263 183662105 220394526 367324210 550986315 1101972630