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132010211320 = 235132692773407
BaseRepresentation
bin111101011110001101…
…0111111011111111000
3110121202000111120010221
41322330122333133320
54130324103230240
6140351124545424
712352223165521
oct1727432773770
9417660446127
10132010211320
1150a923606a9
1221701b52274
13c5aa4b59a0
146564461848
153679591a4a
hex1ebc6bf7f8

132010211320 has 128 divisors (see below), whose sum is σ = 322313644800. Its totient is φ = 48371521536.

The previous prime is 132010211317. The next prime is 132010211327. The reversal of 132010211320 is 23112010231.

It is a super-2 number, since 2×1320102113202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132010211294 and 132010211303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132010211327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38745057 + ... + 38748463.

It is an arithmetic number, because the mean of its divisors is an integer number (2518075350).

Almost surely, 2132010211320 is an apocalyptic number.

132010211320 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 132010211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161156822400).

132010211320 is an abundant number, since it is smaller than the sum of its proper divisors (190303433480).

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

132010211320 is a wasteful number, since it uses less digits than its factorization.

132010211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132010211320 its reverse (23112010231), we get a palindrome (155122221551).

The spelling of 132010211320 in words is "one hundred thirty-two billion, ten million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 269 277 520 538 554 1076 1108 1345 1385 2152 2216 2690 2770 3407 3497 3601 5380 5540 6814 6994 7202 10760 11080 13628 13988 14404 17035 17485 18005 27256 27976 28808 34070 34970 36010 44291 68140 69940 72020 74513 88582 136280 139880 144040 149026 177164 221455 298052 354328 372565 442910 596104 745130 885820 916483 943739 968669 1490260 1771640 1832966 1887478 1937338 2980520 3665932 3774956 3874676 4582415 4718695 4843345 7331864 7549912 7749352 9164830 9437390 9686690 11914279 12268607 18329660 18874780 19373380 23828558 24537214 36659320 37749560 38746760 47657116 49074428 59571395 61343035 95314232 98148856 119142790 122686070 238285580 245372140 253865791 476571160 490744280 507731582 1015463164 1269328955 2030926328 2538657910 3300255283 5077315820 6600510566 10154631640 13201021132 16501276415 26402042264 33002552830 66005105660 132010211320