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101212011030 = 235132274012851
BaseRepresentation
bin101111001000010110…
…1001011101000010110
3100200020122020212211010
41132100231023220112
53124240233323110
6114255100353050
710212061620234
oct1362055135026
9320218225733
10101212011030
1139a185a5a09
1217747845786
13970c94ac30
144c81dd9954
152975849020
hex1790b4ba16

101212011030 has 128 divisors (see below), whose sum is σ = 263494135296. Its totient is φ = 24733440000.

The previous prime is 101212011013. The next prime is 101212011059. The reversal of 101212011030 is 30110212101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101212010997 and 101212011015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35499105 + ... + 35501955.

It is an arithmetic number, because the mean of its divisors is an integer number (2058547932).

Almost surely, 2101212011030 is an apocalyptic number.

101212011030 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 101212011030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131747067648).

101212011030 is an abundant number, since it is smaller than the sum of its proper divisors (162282124266).

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

101212011030 is a wasteful number, since it uses less digits than its factorization.

101212011030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502.

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

Adding to 101212011030 its reverse (30110212101), we get a palindrome (131322223131).

The spelling of 101212011030 in words is "one hundred one billion, two hundred twelve million, eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 401 454 681 802 1135 1203 1362 2005 2270 2406 2851 2951 3405 4010 5213 5702 5902 6015 6810 8553 8853 10426 12030 14255 14755 15639 17106 17706 26065 28510 29510 31278 37063 42765 44265 52130 74126 78195 85530 88530 91027 111189 156390 182054 185315 222378 273081 370630 455135 546162 555945 647177 910270 1111890 1143251 1183351 1294354 1365405 1941531 2286502 2366702 2730810 3235885 3429753 3550053 3883062 5716255 5916755 6471770 6859506 7100106 8413301 9707655 11432510 11833510 14862263 16826602 17148765 17750265 19415310 25239903 29724526 34297530 35500530 42066505 44586789 50479806 74311315 84133010 89173578 126199515 148622630 222933945 252399030 259517977 445867890 519035954 778553931 1297589885 1557107862 2595179770 3373733701 3892769655 6747467402 7785539310 10121201103 16868668505 20242402206 33737337010 50606005515 101212011030