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100021231002 = 237112364314639
BaseRepresentation
bin101110100100110111…
…0101101110110011010
3100120011122120222201010
41131021232231312122
53114320413343002
6113541002034350
710140422302320
oct1351156556632
9316148528633
10100021231002
1139467417290
1217474aa89b6
139580034274
144babbc9d10
15290603046c
hex1749badd9a

100021231002 has 128 divisors (see below), whose sum is σ = 260669767680. Its totient is φ = 24809653440.

The previous prime is 100021230973. The next prime is 100021231003. The reversal of 100021231002 is 200132120001.

100021231002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100021231003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6825199 + ... + 6839837.

It is an arithmetic number, because the mean of its divisors is an integer number (2036482560).

Almost surely, 2100021231002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021231002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130334883840).

100021231002 is an abundant number, since it is smaller than the sum of its proper divisors (160648536678).

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

100021231002 is a wasteful number, since it uses less digits than its factorization.

100021231002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15328.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100021231002 its reverse (200132120001), we get a palindrome (300153351003).

The spelling of 100021231002 in words is "one hundred billion, twenty-one million, two hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 77 138 154 161 231 253 322 462 483 506 643 759 966 1286 1518 1771 1929 3542 3858 4501 5313 7073 9002 10626 13503 14146 14639 14789 21219 27006 29278 29578 42438 43917 44367 49511 87834 88734 99022 102473 103523 148533 161029 162679 204946 207046 297066 307419 310569 322058 325358 336697 483087 488037 614838 621138 673394 966174 976074 1010091 1127203 1138753 2020182 2254406 2277506 2356879 3381609 3416259 3703667 4713758 6763218 6832518 7070637 7407334 9412877 11111001 14141274 18825754 22222002 25925669 28238631 51851338 56477262 65890139 77777007 103541647 131780278 155554014 197670417 207083294 216496171 310624941 395340834 432992342 621249882 649488513 724791529 1298977026 1449583058 1515473197 2174374587 2381457881 3030946394 4348749174 4546419591 4762915762 7144373643 9092839182 14288747286 16670205167 33340410334 50010615501 100021231002