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13132000011030 = 23573127103345707
BaseRepresentation
bin1011111100011000100000…
…1100100010001100010110
31201111101222122210212020220
42333012020030202030112
53210123314000323110
643532431342535210
72523520126234605
oct277061014421426
951441878725226
1013132000011030
1142032827237aa
1215810a0297506
1374345b00c314
14335840d8da3c
1517b8d7db1370
hexbf188322316

13132000011030 has 128 divisors (see below), whose sum is σ = 32231976910848. Its totient is φ = 3423307732992.

The previous prime is 13132000011017. The next prime is 13132000011043. The reversal of 13132000011030 is 3011000023131.

It is an interprime number because it is at equal distance from previous prime (13132000011017) and next prime (13132000011043).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287285437 + ... + 287331143.

It is an arithmetic number, because the mean of its divisors is an integer number (251812319616).

Almost surely, 213132000011030 is an apocalyptic number.

13132000011030 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 13132000011030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115988455424).

13132000011030 is an abundant number, since it is smaller than the sum of its proper divisors (19099976899818).

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

13132000011030 is a wasteful number, since it uses less digits than its factorization.

13132000011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46950.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13132000011030 its reverse (3011000023131), we get a palindrome (16143000034161).

The spelling of 13132000011030 in words is "thirteen trillion, one hundred thirty-two billion, eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 73 127 146 219 254 365 381 438 635 730 762 1033 1095 1270 1905 2066 2190 3099 3810 5165 6198 9271 10330 15495 18542 27813 30990 45707 46355 55626 75409 91414 92710 131191 137121 139065 150818 226227 228535 262382 274242 278130 377045 393573 452454 457070 655955 685605 754090 787146 1131135 1311910 1371210 1967865 2262270 3336611 3935730 5804789 6673222 9576943 10009833 11609578 16683055 17414367 19153886 20019666 28730829 29023945 33366110 34828734 47215331 47884715 50049165 57461658 58047890 87071835 94430662 95769430 100098330 141645993 143654145 174143670 236076655 283291986 287308290 423749597 472153310 708229965 847499194 1271248791 1416459930 2118747985 2542497582 3446719163 4237495970 5996347037 6356243955 6893438326 10340157489 11992694074 12712487910 17233595815 17989041111 20680314978 29981735185 34467191630 35978082222 51700787445 59963470370 89945205555 103401574890 179890411110 437733333701 875466667402 1313200001103 2188666668505 2626400002206 4377333337010 6566000005515 13132000011030