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101213111400 = 23352199847681
BaseRepresentation
bin101111001000011000…
…1011000010001101000
3100200020201022210020120
41132100301120101220
53124241024031100
6114255140123240
710212104152302
oct1362061302150
9320221283216
10101213111400
1139a19187705
1217748096520
13970cc44a3b
144c82204972
1529759b50a0
hex1790c58468

101213111400 has 96 divisors (see below), whose sum is σ = 315337704000. Its totient is φ = 26854502400.

The previous prime is 101213111399. The next prime is 101213111407. The reversal of 101213111400 is 4111312101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101213111400.

It is not an unprimeable number, because it can be changed into a prime (101213111407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304441 + ... + 543240.

It is an arithmetic number, because the mean of its divisors is an integer number (3284767750).

Almost surely, 2101213111400 is an apocalyptic number.

101213111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213111400 is an abundant number, since it is smaller than the sum of its proper divisors (214124592600).

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

101213111400 is a wasteful number, since it uses less digits than its factorization.

101213111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847899 (or 847890 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101213111400 its reverse (4111312101), we get a palindrome (105324423501).

The spelling of 101213111400 in words is "one hundred one billion, two hundred thirteen million, one hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 199 200 300 398 597 600 796 995 1194 1592 1990 2388 2985 3980 4776 4975 5970 7960 9950 11940 14925 19900 23880 29850 39800 59700 119400 847681 1695362 2543043 3390724 4238405 5086086 6781448 8476810 10172172 12715215 16953620 20344344 21192025 25430430 33907240 42384050 50860860 63576075 84768100 101721720 127152150 168688519 169536200 254304300 337377038 506065557 508608600 674754076 843442595 1012131114 1349508152 1686885190 2024262228 2530327785 3373770380 4048524456 4217212975 5060655570 6747540760 8434425950 10121311140 12651638925 16868851900 20242622280 25303277850 33737703800 50606555700 101213111400