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212211101130 = 235779101912553
BaseRepresentation
bin1100010110100011000…
…1000110110111001010
3202021202100121220011020
43011220301012313022
511434102020214010
6241253300213310
721221534411640
oct3055061066712
9667670556136
10212211101130
1181aa86a8216
123516509a236
131701c126ac2
14a3b1b71190
1557c04e3470
hex3168c46dca

212211101130 has 128 divisors (see below), whose sum is σ = 590058086400. Its totient is φ = 47840592384.

The previous prime is 212211101093. The next prime is 212211101161. The reversal of 212211101130 is 31101112212.

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

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, 16898934 + ... + 16911486.

It is an arithmetic number, because the mean of its divisors is an integer number (4609828800).

Almost surely, 2212211101130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295029043200).

212211101130 is an abundant number, since it is smaller than the sum of its proper divisors (377846985270).

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

212211101130 is a wasteful number, since it uses less digits than its factorization.

212211101130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13668.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212211101130 its reverse (31101112212), we get a palindrome (243312213342).

The spelling of 212211101130 in words is "two hundred twelve billion, two hundred eleven million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 1019 1106 1185 1659 2038 2370 2765 3057 3318 5095 5530 6114 7133 8295 10190 12553 14266 15285 16590 21399 25106 30570 35665 37659 42798 62765 71330 75318 80501 87871 106995 125530 161002 175742 188295 213990 241503 263613 376590 402505 439355 483006 527226 563507 805010 878710 991687 1127014 1207515 1318065 1690521 1983374 2415030 2636130 2817535 2975061 3381042 4958435 5635070 5950122 6941809 8452605 9916870 12791507 13883618 14875305 16905210 20825427 25583014 29750610 34709045 38374521 41650854 63957535 69418090 76749042 89540549 104127135 127915070 179081098 191872605 208254270 268621647 383745210 447702745 537243294 895405490 1010529053 1343108235 2021058106 2686216470 3031587159 5052645265 6063174318 7073703371 10105290530 14147406742 15157935795 21221110113 30315871590 35368516855 42442220226 70737033710 106105550565 212211101130