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141133033100 = 225237412713433
BaseRepresentation
bin1000001101110000101…
…1110010111010001100
3111111021210200220222002
42003130023302322030
54303020024024400
6144500254411432
713124256662543
oct2033413627214
9444253626862
10141133033100
1154943a10734
1223429200b78
131040253a397
146b8bcc915a
153a1042eed5
hex20dc2f2e8c

141133033100 has 144 divisors (see below), whose sum is σ = 323490711936. Its totient is φ = 53374464000.

The previous prime is 141133033099. The next prime is 141133033117. The reversal of 141133033100 is 1330331141.

It is a super-2 number, since 2×1411330331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41108984 + ... + 41112416.

Almost surely, 2141133033100 is an apocalyptic number.

141133033100 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 141133033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161745355968).

141133033100 is an abundant number, since it is smaller than the sum of its proper divisors (182357678836).

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

141133033100 is a wasteful number, since it uses less digits than its factorization.

141133033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 141133033100 its reverse (1330331141), we get a palindrome (142463364241).

The spelling of 141133033100 in words is "one hundred forty-one billion, one hundred thirty-three million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 148 164 185 205 271 370 410 542 740 820 925 1025 1084 1355 1517 1850 2050 2710 3034 3433 3700 4100 5420 6068 6775 6866 7585 10027 11111 13550 13732 15170 17165 20054 22222 27100 30340 34330 37925 40108 44444 50135 55555 68660 75850 85825 100270 111110 127021 140753 151700 171650 200540 222220 250675 254042 277775 281506 343300 411107 501350 508084 555550 563012 635105 703765 822214 930343 1002700 1111100 1270210 1407530 1644428 1860686 2055535 2540420 2815060 3175525 3518825 3721372 4111070 4651715 5207861 6351050 7037650 8222140 9303430 10277675 10415722 12702100 14075300 18606860 20555350 20831444 23258575 26039305 34422691 38144063 41110700 46517150 52078610 68845382 76288126 93034300 104157220 130196525 137690764 152576252 172113455 190720315 260393050 344226910 381440630 520786100 688453820 762881260 860567275 953601575 1411330331 1721134550 1907203150 2822660662 3442269100 3814406300 5645321324 7056651655 14113303310 28226606620 35283258275 70566516550 141133033100