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123101310200 = 235211212294139
BaseRepresentation
bin111001010100101101…
…0001110110011111000
3102202202010211111022012
41302221122032303320
54004102413411300
6132315120145052
711615364605051
oct1625132166370
9382663744265
10123101310200
1148230531400
121ba36468188
13b7ba88086b
145d5b1a1728
1533073ac435
hex1ca968ecf8

123101310200 has 144 divisors (see below), whose sum is σ = 314927109000. Its totient is φ = 44716883200.

The previous prime is 123101310187. The next prime is 123101310203. The reversal of 123101310200 is 2013101321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123101310203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29739731 + ... + 29743869.

Almost surely, 2123101310200 is an apocalyptic number.

123101310200 is a gapful number since it is divisible by the number (10) 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 123101310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157463554500).

123101310200 is an abundant number, since it is smaller than the sum of its proper divisors (191825798800).

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

123101310200 is a wasteful number, since it uses less digits than its factorization.

123101310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 123101310200 its reverse (2013101321), we get a palindrome (125114411521).

The spelling of 123101310200 in words is "one hundred twenty-three billion, one hundred one million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1229 2200 2420 2458 3025 4139 4840 4916 6050 6145 8278 9832 12100 12290 13519 16556 20695 24200 24580 27038 30725 33112 41390 45529 49160 54076 61450 67595 82780 91058 103475 108152 122900 135190 148709 165560 182116 206950 227645 245800 270380 297418 337975 364232 413900 455290 500819 540760 594836 675950 743545 827800 910580 1001638 1138225 1189672 1351900 1487090 1821160 2003276 2276450 2504095 2703800 2974180 3717725 4006552 4552900 5008190 5086831 5948360 7435450 9105800 10016380 10173662 12520475 14870900 20032760 20347324 25040950 25434155 29741800 40694648 50081900 50868310 55955141 100163800 101736620 111910282 127170775 203473240 223820564 254341550 279775705 447641128 508683100 559551410 615506551 1017366200 1119102820 1231013102 1398878525 2238205640 2462026204 2797757050 3077532755 4924052408 5595514100 6155065510 11191028200 12310131020 15387663775 24620262040 30775327550 61550655100 123101310200