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103223143100 = 225271120296607
BaseRepresentation
bin110000000100010010…
…1000010101010111100
3100212102210112222101002
41200020211002222330
53142400111034400
6115230422105432
710312652145110
oct1401045025274
9325383488332
10103223143100
113a85a856230
121800927b278
1399704c21cc
144dd3151740
152a421a9ed5
hex1808942abc

103223143100 has 144 divisors (see below), whose sum is σ = 279445447680. Its totient is φ = 32152723200.

The previous prime is 103223143061. The next prime is 103223143139. The reversal of 103223143100 is 1341322301.

It is an interprime number because it is at equal distance from previous prime (103223143061) and next prime (103223143139).

It is a super-2 number, since 2×1032231431002 (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 a congruent number.

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, 15619997 + ... + 15626603.

Almost surely, 2103223143100 is an apocalyptic number.

103223143100 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 103223143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139722723840).

103223143100 is an abundant number, since it is smaller than the sum of its proper divisors (176222304580).

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

103223143100 is a wasteful number, since it uses less digits than its factorization.

103223143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8668 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103223143100 its reverse (1341322301), we get a palindrome (104564465401).

It can be divided in two parts, 1032 and 23143100, that added together give a palindrome (23144132).

The spelling of 103223143100 in words is "one hundred three billion, two hundred twenty-three million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 2029 3850 4058 6607 7700 8116 10145 13214 14203 20290 22319 26428 28406 33035 40580 44638 46249 50725 56812 66070 71015 72677 89276 92498 101450 111595 132140 142030 145354 156233 165175 184996 202900 223190 231245 284060 290708 312466 330350 355075 363385 446380 462490 508739 557975 624932 660700 710150 726770 781165 924980 1017478 1115950 1156225 1420300 1453540 1562330 1816925 2034956 2231900 2312450 2543695 3124660 3633850 3905825 4624900 5087390 7267700 7811650 10174780 12718475 13405603 15623300 25436950 26811206 50873900 53622412 67028015 93839221 134056030 147461633 187678442 268112060 294923266 335140075 375356884 469196105 589846532 670280150 737308165 938392210 1032231431 1340560300 1474616330 1876784420 2064462862 2345980525 2949232660 3686540825 4128925724 4691961050 5161157155 7373081650 9383922100 10322314310 14746163300 20644628620 25805785775 51611571550 103223143100