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122003102130 = 23571355780233
BaseRepresentation
bin111000110011111110…
…0111001100110110010
3102122220121100202001020
41301213330321212302
53444330243232010
6132014125520310
711546231154210
oct1614774714662
9378817322036
10122003102130
1147817630428
121b78a713096
13b6741a96c0
145c953abcb0
153290c7c470
hex1c67f399b2

122003102130 has 128 divisors (see below), whose sum is σ = 361029892608. Its totient is φ = 25694779392.

The previous prime is 122003102129. The next prime is 122003102131. The reversal of 122003102130 is 31201300221.

It is an interprime number because it is at equal distance from previous prime (122003102129) and next prime (122003102131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122003102131) 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, 1480494 + ... + 1560726.

It is an arithmetic number, because the mean of its divisors is an integer number (2820546036).

Almost surely, 2122003102130 is an apocalyptic number.

122003102130 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 122003102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180514946304).

122003102130 is an abundant number, since it is smaller than the sum of its proper divisors (239026790478).

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

122003102130 is a wasteful number, since it uses less digits than its factorization.

122003102130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80820.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122003102130 its reverse (31201300221), we get a palindrome (153204402351).

The spelling of 122003102130 in words is "one hundred twenty-two billion, three million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 557 910 1114 1365 1671 2730 2785 3342 3899 5570 7241 7798 8355 11697 14482 16710 19495 21723 23394 36205 38990 43446 50687 58485 72410 80233 101374 108615 116970 152061 160466 217230 240699 253435 304122 401165 481398 506870 561631 760305 802330 1043029 1123262 1203495 1520610 1684893 2086058 2406990 2808155 3129087 3369786 5215145 5616310 6258174 7301203 8424465 10430290 14602406 15645435 16848930 21903609 31290870 36506015 43807218 44689781 73012030 89379562 109518045 134069343 219036090 223448905 268138686 312828467 446897810 580967153 625656934 670346715 938485401 1161934306 1340693430 1564142335 1742901459 1876970802 2904835765 3128284670 3485802918 4066770071 4692427005 5809671530 8133540142 8714507295 9384854010 12200310213 17429014590 20333850355 24400620426 40667700710 61001551065 122003102130