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10002021000 = 2335310332369
BaseRepresentation
bin10010101000010101…
…01011101010001000
3221211001120022102020
421110022223222020
5130441004133000
64332254004440
7502600530036
oct112412535210
927731508366
1010002021000
114272975464
121b317a6720
13c3524732a
146ac52b556
153d815bba0
hex2542aba88

10002021000 has 128 divisors (see below), whose sum is σ = 31510252800. Its totient is φ = 2641228800.

The previous prime is 10002020957. The next prime is 10002021013. The reversal of 10002021000 is 12020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10002021000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292816 + ... + 325184.

It is an arithmetic number, because the mean of its divisors is an integer number (246173850).

Almost surely, 210002021000 is an apocalyptic number.

10002021000 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 10002021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15755126400).

10002021000 is an abundant number, since it is smaller than the sum of its proper divisors (21508231800).

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

10002021000 is a wasteful number, since it uses less digits than its factorization.

10002021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32496 (or 32482 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10002021000 its reverse (12020001), we get a palindrome (10014041001).

Subtracting from 10002021000 its reverse (12020001), we obtain a palindrome (9990000999).

The spelling of 10002021000 in words is "ten billion, two million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 103 120 125 150 200 206 250 300 309 375 412 500 515 600 618 750 824 1000 1030 1236 1500 1545 2060 2472 2575 3000 3090 4120 5150 6180 7725 10300 12360 12875 15450 20600 25750 30900 32369 38625 51500 61800 64738 77250 97107 103000 129476 154500 161845 194214 258952 309000 323690 388428 485535 647380 776856 809225 971070 1294760 1618450 1942140 2427675 3236900 3334007 3884280 4046125 4855350 6473800 6668014 8092250 9710700 10002021 12138375 13336028 16184500 16670035 19421400 20004042 24276750 26672056 32369000 33340070 40008084 48553500 50010105 66680140 80016168 83350175 97107000 100020210 133360280 166700350 200040420 250050525 333400700 400080840 416750875 500101050 666801400 833501750 1000202100 1250252625 1667003500 2000404200 2500505250 3334007000 5001010500 10002021000