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133021222121130 = 23574676192191261
BaseRepresentation
bin11110001111101101101010…
…101100010010111010101010
3122102222201000200110000111020
4132033231222230102322222
5114413404430330334010
61150525034505113310
740006315614053040
oct3617555254227252
9572881020400436
10133021222121130
1139425a90038692
1212b044a2188836
13592bb02a2abc5
1424bc3937c8390
15105a2c1eb3470
hex78fb6ab12eaa

133021222121130 has 128 divisors (see below), whose sum is σ = 366230351185920. Its totient is φ = 30290716074240.

The previous prime is 133021222121069. The next prime is 133021222121149. The reversal of 133021222121130 is 31121222120331.

It is a self number, because there is not a number n which added to its sum of digits gives 133021222121130.

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, 59609700 + ... + 61800960.

It is an arithmetic number, because the mean of its divisors is an integer number (2861174618640).

Almost surely, 2133021222121130 is an apocalyptic number.

133021222121130 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 133021222121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183115175592960).

133021222121130 is an abundant number, since it is smaller than the sum of its proper divisors (233209129064790).

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

133021222121130 is a wasteful number, since it uses less digits than its factorization.

133021222121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192364.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 133021222121130 its reverse (31121222120331), we get a palindrome (164142444241461).

The spelling of 133021222121130 in words is "one hundred thirty-three trillion, twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 467 619 934 1238 1401 1857 2335 2802 3095 3269 3714 4333 4670 6190 6538 7005 8666 9285 9807 12999 14010 16345 18570 19614 21665 25998 32690 43330 49035 64995 98070 129990 289073 578146 867219 1445365 1734438 2023511 2191261 2890730 4047022 4336095 4382522 6070533 6573783 8672190 10117555 10956305 12141066 13147566 15338827 20235110 21912610 30352665 30677654 32868915 46016481 60705330 65737830 76694135 92032962 153388270 230082405 460164810 1023318887 1356390559 2046637774 2712781118 3069956661 4069171677 5116594435 6139913322 6781952795 7163232209 8138343354 9494733913 10233188870 13563905590 14326464418 15349783305 18989467826 20345858385 21489696627 28484201739 30699566610 35816161045 40691716770 42979393254 47473669565 56968403478 71632322090 94947339130 107448483135 142421008695 214896966270 284842017390 633434391053 1266868782106 1900303173159 3167171955265 3800606346318 4434040737371 6334343910530 8868081474742 9501515865795 13302122212113 19003031731590 22170203686855 26604244424226 44340407373710 66510611060565 133021222121130