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100214253000 = 2334531237213
BaseRepresentation
bin101110101010100111…
…1000010010111001000
3100120200002210112010000
41131111033002113020
53120214322044000
6114012055123000
710145255044551
oct1352517022710
9316602715100
10100214253000
11395563735a4
1217509673460
1395b1017374
144bc96b3328
152917e5c000
hex17553c25c8

100214253000 has 160 divisors (see below), whose sum is σ = 350304771960. Its totient is φ = 26723779200.

The previous prime is 100214252927. The next prime is 100214253019. The reversal of 100214253000 is 352412001.

It can be written as a sum of positive squares in 4 ways, for example, as 42841548324 + 57372704676 = 206982^2 + 239526^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 537607 + ... + 699606.

Almost surely, 2100214253000 is an apocalyptic number.

100214253000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100214253000 is an abundant number, since it is smaller than the sum of its proper divisors (250090518960).

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

100214253000 is a wasteful number, since it uses less digits than its factorization.

100214253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237246 (or 1237223 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 100214253000 its reverse (352412001), we get a palindrome (100566665001).

The spelling of 100214253000 in words is "one hundred billion, two hundred fourteen million, two hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 1237213 2474426 3711639 4948852 6186065 7423278 9897704 11134917 12372130 14846556 18558195 22269834 24744260 29693112 30930325 33404751 37116390 44539668 49488520 55674585 61860650 66809502 74232780 89079336 92790975 100214253 111349170 123721300 133619004 148465560 154651625 167023755 185581950 200428506 222698340 247442600 267238008 278372925 309303250 334047510 371163900 400857012 445396680 463954875 501071265 556745850 618606500 668095020 742327800 801714024 835118775 927909750 1002142530 1113491700 1237213000 1336190040 1391864625 1670237550 1855819500 2004285060 2226983400 2505356325 2783729250 3340475100 3711639000 4008570120 4175593875 5010712650 5567458500 6680950200 8351187750 10021425300 11134917000 12526781625 16702375500 20042850600 25053563250 33404751000 50107126500 100214253000