Search a number
-
+
1102120001112 = 233131929785141
BaseRepresentation
bin10000000010011011011…
…110001001111001011000
310220100202122012222112110
4100002123132021321120
5121024120210013422
62202150144312320
7142424363303544
oct20023336117130
93810678188473
101102120001112
11395452010229
121597219126a0
137cc11079bc0
143b4b2c7ca24
151da06b6960c
hex1009b789e58

1102120001112 has 96 divisors (see below), whose sum is σ = 3131636845680. Its totient is φ = 321265716480.

The previous prime is 1102120001063. The next prime is 1102120001113. The reversal of 1102120001112 is 2111000212011.

It is a super-2 number, since 2×11021200011122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102120001113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4779939 + ... + 5005202.

Almost surely, 21102120001112 is an apocalyptic number.

1102120001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1102120001112 is an abundant number, since it is smaller than the sum of its proper divisors (2029516844568).

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

1102120001112 is a wasteful number, since it uses less digits than its factorization.

1102120001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9785201 (or 9785178 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1102120001112 its reverse (2111000212011), we get a palindrome (3213120213123).

The spelling of 1102120001112 in words is "one trillion, one hundred two billion, one hundred twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 361 456 494 722 741 988 1083 1444 1482 1976 2166 2888 2964 4332 4693 5928 8664 9386 14079 18772 28158 37544 56316 112632 9785141 19570282 29355423 39140564 58710846 78281128 117421692 127206833 185917679 234843384 254413666 371835358 381620499 508827332 557753037 743670716 763240998 1017654664 1115506074 1487341432 1526481996 2231012148 2416929827 3052963992 3532435901 4462024296 4833859654 7064871802 7250789481 9667719308 10597307703 14129743604 14501578962 19335438616 21194615406 28259487208 29003157924 42389230812 45921666713 58006315848 84778461624 91843333426 137765000139 183686666852 275530000278 367373333704 551060000556 1102120001112