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1101220222330 = 251926120692417
BaseRepresentation
bin10000000001100101110…
…101110001010101111010
310220021102221010111002101
4100001211311301111322
5121020244334103310
62201521003054014
7142363156306024
oct20014565612572
93807387114071
101101220222330
1139503011a0a8
1215951051130a
137cac9830117
143b42957d014
151d9a2b8343a
hex10065d7157a

1101220222330 has 96 divisors (see below), whose sum is σ = 2128216530960. Its totient is φ = 410095319040.

The previous prime is 1101220222253. The next prime is 1101220222337. The reversal of 1101220222330 is 332220221011.

It can be written as a sum of positive squares in 8 ways, for example, as 285719113729 + 815501108601 = 534527^2 + 903051^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1101220222298 and 1101220222307.

It is not an unprimeable number, because it can be changed into a prime (1101220222337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455613282 + ... + 455615698.

Almost surely, 21101220222330 is an apocalyptic number.

1101220222330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101220222330 is a deficient number, since it is larger than the sum of its proper divisors (1026996308630).

1101220222330 is a wasteful number, since it uses less digits than its factorization.

1101220222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1101220222330 its reverse (332220221011), we get a palindrome (1433440443341).

The spelling of 1101220222330 in words is "one trillion, one hundred one billion, two hundred twenty million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 5 10 19 38 61 95 122 190 305 361 610 722 1159 1805 2069 2318 2417 3610 4138 4834 5795 10345 11590 12085 20690 22021 24170 39311 44042 45923 78622 91846 110105 126209 147437 196555 220210 229615 252418 294874 393110 459230 631045 737185 746909 872537 1262090 1474370 1493818 1745074 2397971 2801303 3734545 4362685 4795942 5000773 5602606 7469090 8725370 10001546 11989855 14006515 23979710 25003865 28013030 45561449 50007730 53224757 91122898 95014687 106449514 190029374 227807245 266123785 305047153 455614490 475073435 532247570 610094306 950146870 1525235765 1805279053 3050471530 3610558106 5795895907 9026395265 11591791814 18052790530 28979479535 57958959070 110122022233 220244044466 550610111165 1101220222330