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210020000102000 = 24531148661196181
BaseRepresentation
bin101111110000001100010111…
…100000000111011001110000
31000112121201022220120202120022
4233300030113200013121300
5210011431430011231000
62022401504530103012
762144305250022314
oct5760142740073160
91015551286522508
10210020000102000
1160a11a88935a90
121b67b34911aa68
139025a54b2958a
1439c1045063b44
15194317ec6d585
hexbf0317807670

210020000102000 has 160 divisors (see below), whose sum is σ = 554008783543488. Its totient is φ = 76368950400000.

The previous prime is 210020000101999. The next prime is 210020000102041. The reversal of 210020000102000 is 201000020012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 1070443910 + ... + 1070640090.

Almost surely, 2210020000102000 is an apocalyptic number.

210020000102000 is a gapful number since it is divisible by the number (20) 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 210020000102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277004391771744).

210020000102000 is an abundant number, since it is smaller than the sum of its proper divisors (343988783441488).

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

210020000102000 is a wasteful number, since it uses less digits than its factorization.

210020000102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244876 (or 244860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 210020000102000 its reverse (201000020012), we get a palindrome (210221000122012).

The spelling of 210020000102000 in words is "two hundred ten trillion, twenty billion, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 48661 97322 194644 196181 243305 389288 392362 486610 535271 778576 784724 973220 980905 1070542 1216525 1569448 1946440 1961810 2141084 2157991 2433050 2676355 3138896 3892880 3923620 4282168 4315982 4866100 4904525 5352710 6082625 7847240 8564336 8631964 9732200 9809050 10705420 10789955 12165250 13381775 15694480 17263928 19464400 19618100 21410840 21579910 24330500 24522625 26763550 34527856 39236200 42821680 43159820 48661000 49045250 53527100 53949775 66908875 78472400 86319640 97322000 98090500 107054200 107899550 133817750 172639280 196181000 214108400 215799100 267635500 269748875 392362000 431598200 535271000 539497750 863196400 1070542000 1078995500 2157991000 4315982000 9546363641 19092727282 38185454564 47731818205 76370909128 95463636410 105010000051 152741818256 190927272820 210020000102 238659091025 381854545640 420040000204 477318182050 525050000255 763709091280 840080000408 954636364100 1050100000510 1193295455125 1680160000816 1909272728200 2100200001020 2386590910250 2625250001275 3818545456400 4200400002040 4773181820500 5250500002550 8400800004080 9546363641000 10501000005100 13126250006375 19092727282000 21002000010200 26252500012750 42004000020400 52505000025500 105010000051000 210020000102000