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2011102222230 = 233573293348241
BaseRepresentation
bin11101010000111111000…
…010001001011110010110
321010021000011122011202000
4131100333002021132112
5230422214132102410
64135515420100130
7265203662556633
oct35207702113626
97107004564660
102011102222230
117059a3858762
12285922094646
131178526ccb3a
146d4a316d18a
15374a7a0edc0
hex1d43f089796

2011102222230 has 128 divisors (see below), whose sum is σ = 5454974125440. Its totient is φ = 527140638720.

The previous prime is 2011102222211. The next prime is 2011102222231. The reversal of 2011102222230 is 322222011102.

2011102222230 is a `hidden beast` number, since 201 + 1 + 10 + 2 + 222 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011102222231) 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, 5600910 + ... + 5949150.

It is an arithmetic number, because the mean of its divisors is an integer number (42616985355).

Almost surely, 22011102222230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011102222230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727487062720).

2011102222230 is an abundant number, since it is smaller than the sum of its proper divisors (3443871903210).

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

2011102222230 is a wasteful number, since it uses less digits than its factorization.

2011102222230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348623 (or 348617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2011102222230 its reverse (322222011102), we get a palindrome (2333324233332).

The spelling of 2011102222230 in words is "two trillion, eleven billion, one hundred two million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 293 365 438 586 657 730 879 1095 1314 1465 1758 1971 2190 2637 2930 3285 3942 4395 5274 6570 7911 8790 9855 13185 15822 19710 21389 26370 39555 42778 64167 79110 106945 128334 192501 213890 320835 348241 385002 577503 641670 696482 962505 1044723 1155006 1741205 1925010 2089446 2887515 3134169 3482410 5223615 5775030 6268338 9402507 10447230 15670845 18805014 25421593 31341690 47012535 50843186 76264779 94025070 102034613 127107965 152529558 204069226 228794337 254215930 306103839 381323895 457588674 510173065 612207678 686383011 762647790 918311517 1020346130 1143971685 1372766022 1530519195 1836623034 2287943370 2754934551 3061038390 3431915055 4591557585 5509869102 6863830110 7448526749 9183115170 13774672755 14897053498 22345580247 27549345510 37242633745 44691160494 67036740741 74485267490 111727901235 134073481482 201110222223 223455802470 335183703705 402220444446 670367407410 1005551111115 2011102222230