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100430142000 = 2435331539947
BaseRepresentation
bin101110110001000011…
…0100101101000110000
3100121020011000211010220
41131202012211220300
53121140104021000
6114045330253040
710153516056546
oct1354206455060
9317204024126
10100430142000
1139657219161
1217569a27180
139616975836
144c0a22dd96
15292bda41a0
hex17621a5a30

100430142000 has 160 divisors (see below), whose sum is σ = 334232131584. Its totient is φ = 25917408000.

The previous prime is 100430141927. The next prime is 100430142011. The reversal of 100430142000 is 241034001.

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

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, 83974 + ... + 455973.

Almost surely, 2100430142000 is an apocalyptic number.

100430142000 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 100430142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167116065792).

100430142000 is an abundant number, since it is smaller than the sum of its proper divisors (233801989584).

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

100430142000 is a wasteful number, since it uses less digits than its factorization.

100430142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540004 (or 539988 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100430142000 its reverse (241034001), we get a palindrome (100671176001).

The spelling of 100430142000 in words is "one hundred billion, four hundred thirty million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7750 9300 11625 12400 15500 18600 23250 31000 37200 46500 62000 93000 186000 539947 1079894 1619841 2159788 2699735 3239682 4319576 5399470 6479364 8099205 8639152 10798940 12958728 13498675 16198410 16738357 21597880 25917456 26997350 32396820 33476714 40496025 43195760 50215071 53994700 64793640 66953428 67493375 80992050 83691785 100430142 107989400 129587280 133906856 134986750 161984100 167383570 200860284 202480125 215978800 251075355 267813712 269973500 323968200 334767140 401720568 404960250 418458925 502150710 539947000 647936400 669534280 803441136 809920500 836917850 1004301420 1079894000 1255376775 1339068560 1619841000 1673835700 2008602840 2092294625 2510753550 3239682000 3347671400 4017205680 4184589250 5021507100 6276883875 6695342800 8369178500 10043014200 12553767750 16738357000 20086028400 25107535500 33476714000 50215071000 100430142000