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112021212132 = 2232231512273947
BaseRepresentation
bin110100001010011111…
…1000000101111100100
3101201010221200012011200
41220110333000233210
53313404412242012
6123243431202500
711043663410124
oct1502477005744
9351127605150
10112021212132
1143565065765
1219863816430
13a74319030b
1455c9800c84
152da979a3dc
hex1a14fc0be4

112021212132 has 144 divisors (see below), whose sum is σ = 298819003392. Its totient is φ = 35315121600.

The previous prime is 112021212103. The next prime is 112021212161. The reversal of 112021212132 is 231212120211.

It is an interprime number because it is at equal distance from previous prime (112021212103) and next prime (112021212161).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28379383 + ... + 28383329.

It is an arithmetic number, because the mean of its divisors is an integer number (2075131968).

Almost surely, 2112021212132 is an apocalyptic number.

112021212132 is a gapful number since it is divisible by the number (12) 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 112021212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149409501696).

112021212132 is an abundant number, since it is smaller than the sum of its proper divisors (186797791260).

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

112021212132 is a wasteful number, since it uses less digits than its factorization.

112021212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112021212132 its reverse (231212120211), we get a palindrome (343233332343).

The spelling of 112021212132 in words is "one hundred twelve billion, twenty-one million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 207 227 276 302 414 453 454 604 681 828 906 908 1359 1362 1812 2043 2718 2724 3473 3947 4086 5221 5436 6946 7894 8172 10419 10442 11841 13892 15663 15788 20838 20884 23682 31257 31326 34277 35523 41676 46989 47364 62514 62652 68554 71046 90781 93978 102831 125028 137108 142092 181562 187956 205662 272343 308493 363124 411324 544686 595997 616986 788371 817029 895969 1089372 1191994 1233972 1576742 1634058 1787991 1791938 2365113 2383988 2687907 3153484 3268116 3575982 3583876 4730226 5363973 5375814 7095339 7151964 8063721 9460452 10727946 10751628 13707931 14190678 16127442 20607287 21455892 27415862 28381356 32254884 41123793 41214574 54831724 61821861 82247586 82429148 123371379 123643722 135291319 164495172 185465583 246742758 247287444 270582638 370931166 405873957 493485516 541165276 741862332 811747914 1217621871 1623495828 2435243742 3111700337 4870487484 6223400674 9335101011 12446801348 18670202022 28005303033 37340404044 56010606066 112021212132