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100015045212 = 223194334729399
BaseRepresentation
bin101110100100101011…
…1000111101001011100
3100120011012221201101210
41131021113013221130
53114312322421322
6113540221304420
710140315600045
oct1351127075134
9316135851353
10100015045212
1139463981865
1217472a05110
13957b979834
144bab0598cc
15290570c70c
hex17495c7a5c

100015045212 has 96 divisors (see below), whose sum is σ = 252096768000. Its totient is φ = 30759244992.

The previous prime is 100015045187. The next prime is 100015045213. The reversal of 100015045212 is 212540510001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100015045213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3387289 + ... + 3416687.

It is an arithmetic number, because the mean of its divisors is an integer number (2626008000).

Almost surely, 2100015045212 is an apocalyptic number.

100015045212 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 100015045212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126048384000).

100015045212 is an abundant number, since it is smaller than the sum of its proper divisors (152081722788).

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

100015045212 is a wasteful number, since it uses less digits than its factorization.

100015045212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29815 (or 29813 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 100015045212 its reverse (212540510001), we get a palindrome (312555555213).

The spelling of 100015045212 in words is "one hundred billion, fifteen million, forty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 347 516 694 817 1041 1388 1634 2082 2451 3268 4164 4902 6593 9804 13186 14921 19779 26372 29399 29842 39558 44763 58798 59684 79116 88197 89526 117596 176394 179052 283499 352788 558581 566998 850497 1117162 1133996 1264157 1675743 1700994 2234324 2528314 3351486 3401988 3792471 5056628 6702972 7584942 10201453 15169884 20402906 24018983 30604359 40805812 48037966 61208718 72056949 96075932 122417436 144113898 193827607 288227796 387655214 438662479 581482821 775310428 877324958 1162965642 1315987437 1754649916 2325931284 2631974874 5263949748 8334587101 16669174202 25003761303 33338348404 50007522606 100015045212