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2010002023232 = 2676198238807
BaseRepresentation
bin11101001111111101011…
…101001110001101000000
321010011011111102021102222
4131033331131032031000
5230412441004220412
64135214315030212
7265134503204450
oct35177535161500
97104144367388
102010002023232
11705489817995
1228567573b368
131177087ac708
146d3dadbbd60
153744113a072
hex1d3fd74e340

2010002023232 has 112 divisors (see below), whose sum is σ = 4571828336640. Its totient is φ = 858895252992.

The previous prime is 2010002023223. The next prime is 2010002023279. The reversal of 2010002023232 is 2323202000102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2010002023232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228223373 + ... + 228232179.

Almost surely, 22010002023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010002023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285914168320).

2010002023232 is an abundant number, since it is smaller than the sum of its proper divisors (2561826313408).

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

2010002023232 is an equidigital number, since it uses as much as digits as its factorization.

2010002023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2010002023232 its reverse (2323202000102), we get a palindrome (4333204023334).

The spelling of 2010002023232 in words is "two trillion, ten billion, two million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 619 823 1238 1646 2476 3292 4333 4952 5761 6584 8666 8807 9904 11522 13168 17332 17614 19808 23044 26336 34664 35228 39616 46088 52672 61649 69328 70456 92176 123298 138656 140912 184352 246596 277312 281824 368704 493192 509437 563648 986384 1018874 1972768 2037748 3566059 3945536 4075496 5451533 7132118 7248161 8150992 10903066 14264236 14496322 16301984 21806132 28528472 28992644 32603968 38160731 43612264 50737127 57056944 57985288 76321462 87224528 101474254 114113888 115970576 152642924 174449056 202948508 228227776 231941152 305285848 348898112 405897016 463882304 610571696 811794032 1221143392 1623588064 2442286784 3247176128 4486611659 8973223318 17946446636 31406281613 35892893272 62812563226 71785786544 125625126452 143571573088 251250252904 287143146176 502500505808 1005001011616 2010002023232