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101143403000 = 23531919992663
BaseRepresentation
bin101111000110010011…
…1011101100111111000
3100200001212011020021222
41132030213131213320
53124120202344000
6114244210051212
710210266511643
oct1361447354770
9320055136258
10101143403000
11399928a5762
1217728879b08
1396cb678b73
144c76c5aa5a
15296e7e5a85
hex178c9dd9f8

101143403000 has 128 divisors (see below), whose sum is σ = 249350400000. Its totient is φ = 38294467200.

The previous prime is 101143402999. The next prime is 101143403017. The reversal of 101143403000 is 304341101.

It is a self number, because there is not a number n which added to its sum of digits gives 101143403000.

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, 37979669 + ... + 37982331.

It is an arithmetic number, because the mean of its divisors is an integer number (1948050000).

Almost surely, 2101143403000 is an apocalyptic number.

101143403000 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 101143403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124675200000).

101143403000 is an abundant number, since it is smaller than the sum of its proper divisors (148206997000).

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

101143403000 is a wasteful number, since it uses less digits than its factorization.

101143403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101143403000 its reverse (304341101), we get a palindrome (101447744101).

The spelling of 101143403000 in words is "one hundred one billion, one hundred forty-three million, four hundred three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 1999 2375 2663 3800 3998 4750 5326 7996 9500 9995 10652 13315 15992 19000 19990 21304 26630 37981 39980 49975 50597 53260 66575 75962 79960 99950 101194 106520 133150 151924 189905 199900 202388 249875 252985 266300 303848 332875 379810 399800 404776 499750 505970 532600 665750 759620 949525 999500 1011940 1264925 1331500 1519240 1899050 1999000 2023880 2529850 2663000 3798100 4747625 5059700 5323337 6324625 7596200 9495250 10119400 10646674 12649250 18990500 21293348 25298500 26616685 37981000 42586696 50597000 53233370 101143403 106466740 133083425 202286806 212933480 266166850 404573612 505717015 532333700 665417125 809147224 1011434030 1064667400 1330834250 2022868060 2528585075 2661668500 4045736120 5057170150 5323337000 10114340300 12642925375 20228680600 25285850750 50571701500 101143403000