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1021147246700 = 2252717359239027
BaseRepresentation
bin11101101110000010001…
…11100111000001101100
310121121202111200212100022
432313001013213001230
5113212302143343300
62101035241221312
7133526660245340
oct16670107470154
93547674625308
101021147246700
1136407aaaa389
12145aa4191838
13753a8557279
14375d0c49620
151b86809c285
hexedc11e706c

1021147246700 has 144 divisors (see below), whose sum is σ = 2688892899840. Its totient is φ = 328593822720.

The previous prime is 1021147246663. The next prime is 1021147246703. The reversal of 1021147246700 is 76427411201.

1021147246700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1021147246703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4152587 + ... + 4391613.

It is an arithmetic number, because the mean of its divisors is an integer number (18672867360).

Almost surely, 21021147246700 is an apocalyptic number.

1021147246700 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 1021147246700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344446449920).

1021147246700 is an abundant number, since it is smaller than the sum of its proper divisors (1667745653140).

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

1021147246700 is a wasteful number, since it uses less digits than its factorization.

1021147246700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239424 (or 239417 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The spelling of 1021147246700 in words is "one trillion, twenty-one billion, one hundred forty-seven million, two hundred forty-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 359 425 476 595 700 718 850 1190 1436 1700 1795 2380 2513 2975 3590 5026 5950 6103 7180 8975 10052 11900 12206 12565 17950 24412 25130 30515 35900 42721 50260 61030 62825 85442 122060 125650 152575 170884 213605 239027 251300 305150 427210 478054 610300 854420 956108 1068025 1195135 1673189 2136050 2390270 3346378 4063459 4272100 4780540 5975675 6692756 8126918 8365945 11951350 16253836 16731890 20317295 23902700 28444213 33463780 40634590 41829725 56888426 81269180 83659450 85810693 101586475 113776852 142221065 167318900 171621386 203172950 284442130 343242772 406345900 429053465 568884260 600674851 711105325 858106930 1201349702 1422210650 1458781781 1716213860 2145267325 2402699404 2844421300 2917563562 3003374255 4290534650 5835127124 6006748510 7293908905 8581069300 10211472467 12013497020 14587817810 15016871275 20422944934 29175635620 30033742550 36469544525 40845889868 51057362335 60067485100 72939089050 102114724670 145878178100 204229449340 255286811675 510573623350 1021147246700