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155355301300 = 225253591014919
BaseRepresentation
bin1001000010101111100…
…1011100010110110100
3112211222222102000012011
42100223321130112310
510021131424120200
6155211431134004
714136564162403
oct2205371342664
9484888360164
10155355301300
115a9820212a1
1226138214304
131185abcc1b4
14773aadd63a
154093d1a5ba
hex242be5c5b4

155355301300 has 144 divisors (see below), whose sum is σ = 352833667200. Its totient is φ = 59330752000.

The previous prime is 155355301271. The next prime is 155355301301. The reversal of 155355301300 is 3103553551.

It is a happy number.

155355301300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155355301301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31580241 + ... + 31585159.

It is an arithmetic number, because the mean of its divisors is an integer number (2450233800).

Almost surely, 2155355301300 is an apocalyptic number.

155355301300 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 155355301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176416833600).

155355301300 is an abundant number, since it is smaller than the sum of its proper divisors (197478365900).

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

155355301300 is a wasteful number, since it uses less digits than its factorization.

155355301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 16875, while the sum is 31.

Adding to 155355301300 its reverse (3103553551), we get a palindrome (158458854851).

The spelling of 155355301300 in words is "one hundred fifty-five billion, three hundred fifty-five million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 59 100 101 106 118 202 212 236 265 295 404 505 530 590 1010 1060 1180 1325 1475 2020 2525 2650 2950 3127 4919 5050 5300 5353 5900 5959 6254 9838 10100 10706 11918 12508 15635 19676 21412 23836 24595 26765 29795 31270 49190 53530 59590 62540 78175 98380 107060 119180 122975 133825 148975 156350 245950 260707 267650 290221 297950 312700 315827 491900 496819 521414 535300 580442 595900 631654 993638 1042828 1160884 1263308 1303535 1451105 1579135 1987276 2484095 2607070 2902210 3158270 4968190 5214140 5804420 6316540 6517675 7255525 7895675 9936380 12420475 13035350 14511050 15381713 15791350 24840950 26070700 26331407 29022100 29312321 30763426 31582700 49681900 52662814 58624642 61526852 76908565 105325628 117249284 131657035 146561605 153817130 263314070 293123210 307634260 384542825 526628140 586246420 658285175 732808025 769085650 1316570350 1465616050 1538171300 1553553013 2633140700 2931232100 3107106026 6214212052 7767765065 15535530130 31071060260 38838825325 77677650650 155355301300