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13114113201210 = 235728321294987
BaseRepresentation
bin1011111011010101111000…
…0011110001010000111010
31201102200211002121202222010
42332311132003301100322
53204330200434414320
643520312422310350
72522314643662200
oct276653603612072
951380732552863
1013114113201210
1141a673402184a
121579729b883b6
1374186a390198
14334a255c9070
1517b1dc915ae0
hexbed5e0f143a

13114113201210 has 144 divisors (see below), whose sum is σ = 37058920233696. Its totient is φ = 2961394704576.

The previous prime is 13114113201191. The next prime is 13114113201221. The reversal of 13114113201210 is 1210231141131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9479337 + ... + 10774323.

It is an arithmetic number, because the mean of its divisors is an integer number (257353612734).

Almost surely, 213114113201210 is an apocalyptic number.

13114113201210 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 13114113201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18529460116848).

13114113201210 is an abundant number, since it is smaller than the sum of its proper divisors (23944807032486).

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

13114113201210 is a wasteful number, since it uses less digits than its factorization.

13114113201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295177 (or 1295087 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13114113201210 its reverse (1210231141131), we get a palindrome (14324344342341).

The spelling of 13114113201210 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirteen million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 83 98 105 147 166 210 245 249 294 415 490 498 581 735 830 1162 1245 1470 1743 2490 2905 3486 4067 5810 6889 8134 8715 12201 13778 17430 20335 20667 24402 34445 40670 41334 48223 61005 68890 96446 103335 122010 144669 206670 241115 289338 337561 482230 675122 723345 1012683 1294987 1446690 1687805 2025366 2589974 3375610 3884961 5063415 6474935 7769922 9064909 10126830 12949870 18129818 19424805 27194727 38849610 45324545 54389454 63454363 90649090 107483921 126908726 135973635 190363089 214967842 271947270 317271815 322451763 380726178 537419605 634543630 644903526 752387447 951815445 1074839210 1504774894 1612258815 1903630890 2257162341 3224517630 3761937235 4514324682 5266712129 7523874470 8921165443 10533424258 11285811705 15800136387 17842330886 22571623410 26333560645 26763496329 31600272774 44605827215 52667121290 53526992658 62448158101 79000681935 89211654430 124896316202 133817481645 158001363870 187344474303 267634963290 312240790505 374688948606 437137106707 624481581010 874274213414 936722371515 1311411320121 1873444743030 2185685533535 2622822640242 4371371067070 6557056600605 13114113201210