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1020210202000 = 24531151019091
BaseRepresentation
bin11101101100010010100…
…01000100010110010000
310121112100012111001200001
432312021101010112100
5113203342302431000
62100402245135344
7133464521430523
oct16661121042620
93545305431601
101020210202000
1136373a075880
121458823ba554
1375289390252
1437542608bba
151b810ba446a
hexed89444590

1020210202000 has 160 divisors (see below), whose sum is σ = 2691952668288. Its totient is φ = 370872000000.

The previous prime is 1020210201977. The next prime is 1020210202003. The reversal of 1020210202000 is 2020120201.

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

It is not an unprimeable number, because it can be changed into a prime (1020210202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112217455 + ... + 112226545.

Almost surely, 21020210202000 is an apocalyptic number.

1020210202000 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 1020210202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345976334144).

1020210202000 is an abundant number, since it is smaller than the sum of its proper divisors (1671742466288).

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

1020210202000 is a wasteful number, since it uses less digits than its factorization.

1020210202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14226 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020210202000 its reverse (2020120201), we get a palindrome (1022230322201).

The spelling of 1020210202000 in words is "one trillion, twenty billion, two hundred ten million, two 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 5101 5500 9091 10202 11000 18182 20404 22000 25505 36364 40808 45455 51010 56111 72728 81616 90910 100001 102020 112222 127525 145456 181820 200002 204040 224444 227275 255050 280555 363640 400004 408080 448888 454550 500005 510100 561110 637625 727280 800008 897776 909100 1000010 1020200 1122220 1136375 1275250 1402775 1600016 1818200 2000020 2040400 2244440 2272750 2500025 2550500 2805550 3636400 4000040 4488880 4545500 5000050 5101000 5611100 7013875 8000080 9091000 10000100 10202000 11222200 12500125 14027750 18182000 20000200 22444400 25000250 28055500 40000400 46373191 50000500 56111000 92746382 100001000 112222000 185492764 200002000 231865955 370985528 463731910 510105101 741971056 927463820 1020210202 1159329775 1854927640 2040420404 2318659550 2550525505 3709855280 4080840808 4637319100 5101051010 5796648875 8161681616 9274638200 10202102020 11593297750 12752627525 18549276400 20404204040 23186595500 25505255050 40808408080 46373191000 51010510100 63763137625 92746382000 102021020200 127526275250 204042040400 255052550500 510105101000 1020210202000