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152112103203400 = 23521910923369203
BaseRepresentation
bin100010100101100001011011…
…111000001010001001001000
3201221120202221000021102102221
4202211201123320022021020
5124414201041410002100
61255303200245503424
744016510501600304
oct4245413370121110
9657522830242387
10152112103203400
1144516420781a8a
1215088417711b74
1366b515726a122
14297c39d530d04
15128bbb8ea101a
hex8a585be0a248

152112103203400 has 144 divisors (see below), whose sum is σ = 375721164025200. Its totient is φ = 57113634159360.

The previous prime is 152112103203377. The next prime is 152112103203413. The reversal of 152112103203400 is 4302301211251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43463199 + ... + 46832401.

It is an arithmetic number, because the mean of its divisors is an integer number (2609174750175).

Almost surely, 2152112103203400 is an apocalyptic number.

152112103203400 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 152112103203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187860582012600).

152112103203400 is an abundant number, since it is smaller than the sum of its proper divisors (223609060821800).

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

152112103203400 is a wasteful number, since it uses less digits than its factorization.

152112103203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369456 (or 3369338 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 152112103203400 its reverse (4302301211251), we get a palindrome (156414404414651).

The spelling of 152112103203400 in words is "one hundred fifty-two trillion, one hundred twelve billion, one hundred three million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 109 152 190 200 218 380 436 475 545 760 872 950 1090 1900 2071 2180 2725 3800 4142 4360 5450 8284 10355 10900 11881 16568 20710 21800 23762 41420 47524 51775 59405 82840 95048 103550 118810 207100 225739 237620 297025 414200 451478 475240 594050 902956 1128695 1188100 1805912 2257390 2376200 3369203 4514780 5643475 6738406 9029560 11286950 13476812 16846015 22573900 26953624 33692030 45147800 64014857 67384060 84230075 128029714 134768120 168460150 256059428 320074285 336920300 367243127 512118856 640148570 673840600 734486254 1280297140 1468972508 1600371425 1836215635 2560594280 2937945016 3200742850 3672431270 6401485700 6977619413 7344862540 9181078175 12802971400 13955238826 14689725080 18362156350 27910477652 34888097065 36724312700 40029500843 55820955304 69776194130 73448625400 80059001686 139552388260 160118003372 174440485325 200147504215 279104776520 320236006744 348880970650 400295008430 697761941300 760560516017 800590016860 1000737521075 1395523882600 1521121032034 1601180033720 2001475042150 3042242064068 3802802580085 4002950084300 6084484128136 7605605160170 8005900168600 15211210320340 19014012900425 30422420640680 38028025800850 76056051601700 152112103203400