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100302211230 = 235132119531279
BaseRepresentation
bin101110101101001111…
…0100100100010011110
3100120220020022021010020
41131122132210202132
53120404331224410
6114024520253010
710150403504544
oct1353236444236
9316806267106
10100302211230
11395a0a8a951
1217533011166
1395c6302b60
144bd724bd94
152920a33a70
hex175a7a489e

100302211230 has 128 divisors (see below), whose sum is σ = 260948459520. Its totient is φ = 24527784960.

The previous prime is 100302211211. The next prime is 100302211249. The reversal of 100302211230 is 32112203001.

It is an interprime number because it is at equal distance from previous prime (100302211211) and next prime (100302211249).

It is a super-2 number, since 2×1003022112302 (a number of 23 digits) contains 22 as substring.

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

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, 78421731 + ... + 78423009.

It is an arithmetic number, because the mean of its divisors is an integer number (2038659840).

Almost surely, 2100302211230 is an apocalyptic number.

100302211230 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 100302211230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130474229760).

100302211230 is an abundant number, since it is smaller than the sum of its proper divisors (160646248290).

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

100302211230 is a wasteful number, since it uses less digits than its factorization.

100302211230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466.

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

Adding to 100302211230 its reverse (32112203001), we get a palindrome (132414414231).

The spelling of 100302211230 in words is "one hundred billion, three hundred two million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 211 390 422 633 953 1055 1266 1279 1906 2110 2558 2743 2859 3165 3837 4765 5486 5718 6330 6395 7674 8229 9530 12389 12790 13715 14295 16458 16627 19185 24778 27430 28590 33254 37167 38370 41145 49881 61945 74334 82290 83135 99762 123890 166270 185835 201083 249405 269869 371670 402166 498810 539738 603249 809607 1005415 1206498 1218887 1349345 1619214 2010830 2437774 2614079 2698690 3016245 3508297 3656661 4048035 5228158 6032490 6094435 7016594 7313322 7842237 8096070 10524891 12188870 13070395 15684474 15845531 17541485 18283305 21049782 26140790 31691062 35082970 36566610 39211185 47536593 52624455 78422370 79227655 95073186 105248910 158455310 237682965 257185157 475365930 514370314 771555471 1285925785 1543110942 2571851570 3343407041 3857777355 6686814082 7715554710 10030221123 16717035205 20060442246 33434070410 50151105615 100302211230