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100230223002 = 237133723920759
BaseRepresentation
bin101110101011000101…
…1111101010010011010
3100120201012211212211120
41131112023331102122
53120232414114002
6114013425310110
710145540560410
oct1352613752232
9316635755746
10100230223002
1139564391048
1217512a95336
1395b4419380
144bcb86d2b0
152919563cbc
hex17562fd49a

100230223002 has 128 divisors (see below), whose sum is σ = 254461132800. Its totient is φ = 25611054336.

The previous prime is 100230222971. The next prime is 100230223021. The reversal of 100230223002 is 200322032001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4817899 + ... + 4838657.

It is an arithmetic number, because the mean of its divisors is an integer number (1987977600).

Almost surely, 2100230223002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100230223002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127230566400).

100230223002 is an abundant number, since it is smaller than the sum of its proper divisors (154230909798).

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

100230223002 is a wasteful number, since it uses less digits than its factorization.

100230223002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 100230223002 its reverse (200322032001), we get a palindrome (300552255003).

The spelling of 100230223002 in words is "one hundred billion, two hundred thirty million, two hundred twenty-three thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 239 259 273 478 481 518 546 717 777 962 1434 1443 1554 1673 2886 3107 3346 3367 5019 6214 6734 8843 9321 10038 10101 17686 18642 20202 20759 21749 26529 41518 43498 53058 61901 62277 65247 114959 123802 124554 130494 145313 185703 229918 269867 290626 344877 371406 435939 539734 689754 768083 804713 809601 871878 1536166 1609426 1619202 1889069 2304249 2414139 3778138 4608498 4828278 4961401 5376581 5667207 9922802 9985079 10753162 11334414 14884203 16129743 19970158 29768406 29955237 32259486 34729807 59910474 64498213 69459614 69895553 104189421 128996426 139791106 183571837 193494639 208378842 209686659 367143674 386989278 419373318 451487491 550715511 902974982 1101431022 1285002859 1354462473 2386433881 2570005718 2708924946 3855008577 4772867762 7159301643 7710017154 14318603286 16705037167 33410074334 50115111501 100230223002