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153220100000 = 255511139291
BaseRepresentation
bin1000111010110010100…
…0010010111110100000
3112122111011122112122112
42032230220102332200
510002243321200000
6154215514254452
714032636234622
oct2165450227640
9478434575575
10153220100000
1159a8682aa20
1225841127428
13115aa737a86
1475b72ccc12
153ebb64d235
hex23aca12fa0

153220100000 has 144 divisors (see below), whose sum is σ = 411320361312. Its totient is φ = 55716000000.

The previous prime is 153220099961. The next prime is 153220100021. The reversal of 153220100000 is 1022351.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1030355 + ... + 1169645.

It is an arithmetic number, because the mean of its divisors is an integer number (2856391398).

Almost surely, 2153220100000 is an apocalyptic number.

153220100000 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 153220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205660180656).

153220100000 is an abundant number, since it is smaller than the sum of its proper divisors (258100261312).

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

153220100000 is an equidigital number, since it uses as much as digits as its factorization.

153220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139337 (or 139309 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 153220100000 its reverse (1022351), we get a palindrome (153221122351).

The spelling of 153220100000 in words is "one hundred fifty-three billion, two hundred twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 139291 220000 275000 278582 550000 557164 696455 1100000 1114328 1392910 1532201 2228656 2785820 3064402 3482275 4457312 5571640 6128804 6964550 7661005 11143280 12257608 13929100 15322010 17411375 22286560 24515216 27858200 30644020 34822750 38305025 49030432 55716400 61288040 69645500 76610050 87056875 111432800 122576080 139291000 153220100 174113750 191525125 245152160 278582000 306440200 348227500 383050250 435284375 557164000 612880400 696455000 766100500 870568750 957625625 1225760800 1392910000 1532201000 1741137500 1915251250 2785820000 3064402000 3482275000 3830502500 4788128125 6128804000 6964550000 7661005000 9576256250 13929100000 15322010000 19152512500 30644020000 38305025000 76610050000 153220100000