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31111102000 = 2453114332887
BaseRepresentation
bin11100111110010111…
…011011111000110000
32222022012000201210001
4130332113123320300
51002203420231000
622143042515344
72150651001166
oct347627337060
988265021701
1031111102000
1112215451450
126043065b54
132c1a6320c4
141711c37236
15c2145446a
hex73e5dbe30

31111102000 has 160 divisors (see below), whose sum is σ = 83976482304. Its totient is φ = 11049696000.

The previous prime is 31111101979. The next prime is 31111102021. The reversal of 31111102000 is 20111113.

It is an interprime number because it is at equal distance from previous prime (31111101979) and next prime (31111102021).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 929557 + ... + 962443.

Almost surely, 231111102000 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 31111102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41988241152).

31111102000 is an abundant number, since it is smaller than the sum of its proper divisors (52865380304).

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

31111102000 is a wasteful number, since it uses less digits than its factorization.

31111102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32964 (or 32948 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 31111102000 its reverse (20111113), we get a palindrome (31131213113).

The spelling of 31111102000 in words is "thirty-one billion, one hundred eleven million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 125 172 176 200 215 220 250 275 344 400 430 440 473 500 550 688 860 880 946 1000 1075 1100 1375 1720 1892 2000 2150 2200 2365 2750 3440 3784 4300 4400 4730 5375 5500 7568 8600 9460 10750 11000 11825 17200 18920 21500 22000 23650 32887 37840 43000 47300 59125 65774 86000 94600 118250 131548 164435 189200 236500 263096 328870 361757 473000 526192 657740 723514 822175 946000 1315480 1414141 1447028 1644350 1808785 2630960 2828282 2894056 3288700 3617570 4110875 5656564 5788112 6577400 7070705 7235140 8221750 9043925 11313128 13154800 14141410 14470280 15555551 16443500 18087850 22626256 28282820 28940560 31111102 32887000 35353525 36175700 45219625 56565640 62222204 65774000 70707050 72351400 77777755 90439250 113131280 124444408 141414100 144702800 155555510 176767625 180878500 248888816 282828200 311111020 353535250 361757000 388888775 565656400 622222040 707070500 723514000 777777550 1244444080 1414141000 1555555100 1944443875 2828282000 3111110200 3888887750 6222220400 7777775500 15555551000 31111102000