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32103213000 = 2335353201907
BaseRepresentation
bin11101111001100000…
…000010011111001000
310001212022212012012220
4131321200002133020
51011221410304000
622425323134040
72214355544115
oct357140023710
9101768765186
1032103213000
11126844770a1
12627b374320
133048039531
1417a78cd90c
15c7d5c81a0
hex7798027c8

32103213000 has 128 divisors (see below), whose sum is σ = 102052379520. Its totient is φ = 8399289600.

The previous prime is 32103212989. The next prime is 32103213071. The reversal of 32103213000 is 31230123.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 58047 + ... + 259953.

It is an arithmetic number, because the mean of its divisors is an integer number (797284215).

Almost surely, 232103213000 is an apocalyptic number.

32103213000 is a gapful number since it is divisible by the number (30) 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 32103213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51026189760).

32103213000 is an abundant number, since it is smaller than the sum of its proper divisors (69949166520).

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

32103213000 is a wasteful number, since it uses less digits than its factorization.

32103213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201984 (or 201970 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 32103213000 its reverse (31230123), we get a palindrome (32134443123).

The spelling of 32103213000 in words is "thirty-two billion, one hundred three million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 125 150 159 200 212 250 265 300 318 375 424 500 530 600 636 750 795 1000 1060 1272 1325 1500 1590 2120 2650 3000 3180 3975 5300 6360 6625 7950 10600 13250 15900 19875 26500 31800 39750 53000 79500 159000 201907 403814 605721 807628 1009535 1211442 1615256 2019070 2422884 3028605 4038140 4845768 5047675 6057210 8076280 10095350 10701071 12114420 15143025 20190700 21402142 24228840 25238375 30286050 32103213 40381400 42804284 50476750 53505355 60572100 64206426 75715125 85608568 100953500 107010710 121144200 128412852 151430250 160516065 201907000 214021420 256825704 267526775 302860500 321032130 428042840 535053550 605721000 642064260 802580325 1070107100 1284128520 1337633875 1605160650 2140214200 2675267750 3210321300 4012901625 5350535500 6420642600 8025803250 10701071000 16051606500 32103213000