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101041234304430 = 23573718736942883
BaseRepresentation
bin10110111110010101111110…
…111000001101110110101110
3111020202110002100100122122010
4112332111332320031312232
5101220424421440220210
6554521411403302050
730165662656534260
oct2676257670156656
9436673070318563
10101041234304430
112a21638a697312
12b3ba574b1a926
13444c1bc109794
141ad45c9725b30
15ba34ab082920
hex5be57ee0ddae

101041234304430 has 128 divisors (see below), whose sum is σ = 284783993515008. Its totient is φ = 22458945779712.

The previous prime is 101041234304383. The next prime is 101041234304431. The reversal of 101041234304430 is 34403432140101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041234304431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11081769 + ... + 18024651.

It is an arithmetic number, because the mean of its divisors is an integer number (2224874949336).

Almost surely, 2101041234304430 is an apocalyptic number.

101041234304430 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 101041234304430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142391996757504).

101041234304430 is an abundant number, since it is smaller than the sum of its proper divisors (183742759210578).

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

101041234304430 is a wasteful number, since it uses less digits than its factorization.

101041234304430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944810.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 101041234304430 its reverse (34403432140101), we get a palindrome (135444666444531).

The spelling of 101041234304430 in words is "one hundred one trillion, forty-one billion, two hundred thirty-four million, three hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 1873 2590 3746 3885 5619 7770 9365 11238 13111 18730 26222 28095 39333 56190 65555 69301 78666 131110 138602 196665 207903 346505 393330 415806 485107 693010 970214 1039515 1455321 2079030 2425535 2910642 4851070 6942883 7276605 13885766 14553210 20828649 34714415 41657298 48600181 69428830 97200362 104143245 145800543 208286490 243000905 256886671 291601086 486001810 513773342 729002715 770660013 1284433355 1458005430 1541320026 1798206697 2568866710 3596413394 3853300065 5394620091 7706600130 8991033485 10789240182 13004019859 17982066970 26008039718 26973100455 39012059577 53946200910 65020099295 78024119154 91028139013 130040198590 182056278026 195060297885 273084417039 390120595770 455140695065 481148734783 546168834078 910281390130 962297469566 1365422085195 1443446204349 2405743673915 2730844170390 2886892408698 3368041143481 4811487347830 6736082286962 7217231021745 10104123430443 14434462043490 16840205717405 20208246860886 33680411434810 50520617152215 101041234304430