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100142254500 = 2235353223767
BaseRepresentation
bin101110101000011110…
…0011000100110100100
3100120111002022121201220
41131100330120212210
53120042404121000
6114001004020340
710143422055441
oct1352074304644
9316432277656
10100142254500
1139519768002
12174a95316b0
13959c128cc2
144bbdcd09c8
1529119891a0
hex1750f189a4

100142254500 has 144 divisors (see below), whose sum is σ = 297232720512. Its totient is φ = 26199638400.

The previous prime is 100142254493. The next prime is 100142254543. The reversal of 100142254500 is 5452241001.

100142254500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001422545002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4201617 + ... + 4225383.

Almost surely, 2100142254500 is an apocalyptic number.

100142254500 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 100142254500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148616360256).

100142254500 is an abundant number, since it is smaller than the sum of its proper divisors (197090466012).

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

100142254500 is a wasteful number, since it uses less digits than its factorization.

100142254500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23895 (or 23830 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 100142254500 its reverse (5452241001), we get a palindrome (105594495501).

The spelling of 100142254500 in words is "one hundred billion, one hundred forty-two million, two hundred fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 125 150 159 212 250 265 300 318 375 500 530 636 750 795 1060 1325 1500 1590 2650 2809 3180 3975 5300 5618 6625 7950 8427 11236 13250 14045 15900 16854 19875 23767 26500 28090 33708 39750 42135 47534 56180 70225 71301 79500 84270 95068 118835 140450 142602 168540 210675 237670 280900 285204 351125 356505 421350 475340 594175 702250 713010 842700 1053375 1188350 1259651 1404500 1426020 1782525 2106750 2376700 2519302 2970875 3565050 3778953 4213500 5038604 5941750 6298255 7130100 7557906 8912625 11883500 12596510 15115812 17825250 18894765 25193020 31491275 35650500 37789530 62982550 66761503 75579060 94473825 125965100 133523006 157456375 188947650 200284509 267046012 314912750 333807515 377895300 400569018 472369125 629825500 667615030 801138036 944738250 1001422545 1335230060 1669037575 1889476500 2002845090 3338075150 4005690180 5007112725 6676150300 8345187875 10014225450 16690375750 20028450900 25035563625 33380751500 50071127250 100142254500