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112102022010 = 235111015416217
BaseRepresentation
bin110100001100111001…
…1010001101101111010
3101201100120201202111010
41220121303101231322
53314041104201020
6123255435214350
711045664315336
oct1503163215572
9351316652433
10112102022010
11435a673a390
12198868a73b6
13a756b45204
1455d64387c6
152db190dde0
hex1a19cd1b7a

112102022010 has 128 divisors (see below), whose sum is σ = 297005107968. Its totient is φ = 26853120000.

The previous prime is 112102021957. The next prime is 112102022017. The reversal of 112102022010 is 10220201211.

It is not an unprimeable number, because it can be changed into a prime (112102022017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18028422 + ... + 18034638.

It is an arithmetic number, because the mean of its divisors is an integer number (2320352406).

Almost surely, 2112102022010 is an apocalyptic number.

112102022010 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 112102022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148502553984).

112102022010 is an abundant number, since it is smaller than the sum of its proper divisors (184903085958).

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

112102022010 is a wasteful number, since it uses less digits than its factorization.

112102022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6880.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112102022010 its reverse (10220201211), we get a palindrome (122322223221).

The spelling of 112102022010 in words is "one hundred twelve billion, one hundred two million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 541 606 1010 1082 1111 1515 1623 2222 2705 3030 3246 3333 5410 5555 5951 6217 6666 8115 11110 11902 12434 16230 16665 17853 18651 29755 31085 33330 35706 37302 54641 59510 62170 68387 89265 93255 109282 136774 163923 178530 186510 205161 273205 327846 341935 410322 546410 601051 627917 683870 819615 1025805 1202102 1255834 1639230 1803153 1883751 2051610 3005255 3139585 3363397 3606306 3767502 6010510 6279170 6726794 6907087 9015765 9418755 10090191 13814174 16816985 18031530 18837510 20180382 20721261 33633970 34535435 36997367 41442522 50450955 69070870 73994734 100901910 103606305 110992101 184986835 207212610 221984202 339703097 369973670 554960505 679406194 1019109291 1109921010 1698515485 2038218582 3397030970 3736734067 5095546455 7473468134 10191092910 11210202201 18683670335 22420404402 37367340670 56051011005 112102022010