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13101332121222 = 2317436788750263
BaseRepresentation
bin1011111010100110010000…
…1111110100011010000110
31201101110211100202122022020
42332221210033310122012
53204123012010334342
643510400251344010
72521353136412262
oct276514417643206
951343740678266
1013101332121222
1141a1275482224
121577161752006
137405b146b467
14334171d690a2
1517abe08090ec
hexbea643f4686

13101332121222 has 128 divisors (see below), whose sum is σ = 28845983637504. Its totient is φ = 3950178236928.

The previous prime is 13101332121191. The next prime is 13101332121259. The reversal of 13101332121222 is 22212123310131.

It is a junction number, because it is equal to n+sod(n) for n = 13101332121192 and 13101332121201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260630463 + ... + 260680725.

It is an arithmetic number, because the mean of its divisors is an integer number (225359247168).

Almost surely, 213101332121222 is an apocalyptic number.

13101332121222 is an abundant number, since it is smaller than the sum of its proper divisors (15744651516282).

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

13101332121222 is a wasteful number, since it uses less digits than its factorization.

13101332121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51282.

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

Adding to 13101332121222 its reverse (22212123310131), we get a palindrome (35313455431353).

The spelling of 13101332121222 in words is "thirteen trillion, one hundred one billion, three hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 17 34 43 51 67 86 102 129 134 201 258 402 731 887 1139 1462 1774 2193 2278 2661 2881 3417 4386 5322 5762 6834 8643 15079 17286 30158 38141 45237 48977 50263 59429 76282 90474 97954 100526 114423 118858 146931 150789 178287 228846 293862 301578 356574 648397 854471 1010293 1296794 1708942 1945191 2020586 2161309 2555447 2563413 3030879 3367621 3890382 4322618 5110894 5126826 6061758 6483927 6735242 7666341 10102863 12967854 15332682 20205726 36742253 43442599 44583281 57249557 73484506 86885198 89166562 110226759 114499114 130327797 133749843 144807703 171748671 220453518 260655594 267499686 289615406 343497342 434423109 757915777 868846218 1515831554 1917081083 2273747331 2461730951 2987079827 3834162166 4547494662 4923461902 5751243249 5974159654 7385192853 8961239481 11502486498 14770385706 17922478962 32590378411 50780357059 65180756822 97771135233 101560714118 128444432561 152341071177 195542270466 256888865122 304682142354 385333297683 770666595366 2183555353537 4367110707074 6550666060611 13101332121222