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13127229813820 = 22523397607118423
BaseRepresentation
bin1011111100000110101111…
…0111101011010000111100
31201110221200012211201212011
42333001223313223100330
53210034031313020240
643530322141021004
72523260664232243
oct277015367532074
951427605751764
1013127229813820
114201255004a61
12158018a854764
13742b7a971015
1433550b62b95a
1517b7091ee6ea
hexbf06bdeb43c

13127229813820 has 96 divisors (see below), whose sum is σ = 28885966921728. Its totient is φ = 5001645065472.

The previous prime is 13127229813773. The next prime is 13127229813857. The reversal of 13127229813820 is 2831892272131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110791129 + ... + 110909551.

It is an arithmetic number, because the mean of its divisors is an integer number (300895488768).

Almost surely, 213127229813820 is an apocalyptic number.

13127229813820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13127229813820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442983460864).

13127229813820 is an abundant number, since it is smaller than the sum of its proper divisors (15758737107908).

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

13127229813820 is a wasteful number, since it uses less digits than its factorization.

13127229813820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119459 (or 119457 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 13127229813820 in words is "thirteen trillion, one hundred twenty-seven billion, two hundred twenty-nine million, eight hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 397 460 607 794 1214 1588 1985 2428 3035 3970 6070 7940 9131 12140 13961 18262 27922 36524 45655 55844 69805 91310 118423 139610 182620 236846 240979 279220 473692 481958 592115 963916 1184230 1204895 2368460 2409790 2723729 4819580 5447458 5542517 10894916 11085034 13618645 22170068 27237290 27712585 47013931 54474580 55425170 71882761 94027862 110850340 143765522 188055724 235069655 287531044 359413805 470139310 718827610 940278620 1081320413 1437655220 1653303503 2162640826 3306607006 4325281652 5406602065 6613214012 8266517515 10813204130 16533035030 21626408260 28537456117 33066070060 57074912234 114149824468 142687280585 285374561170 570749122340 656361490691 1312722981382 2625445962764 3281807453455 6563614906910 13127229813820