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103023002000 = 2453734671511
BaseRepresentation
bin101111111110010100…
…1100100000110010000
3100211220211221202101202
41133330221210012100
53141442342031000
6115154512250332
710305002032262
oct1377451440620
9324824852352
10103023002000
113a767887266
1217b722409a8
13993abb8919
144db4733b32
152a2e823dd5
hex17fca64190

103023002000 has 160 divisors (see below), whose sum is σ = 253230292224. Its totient is φ = 40530816000.

The previous prime is 103023001993. The next prime is 103023002021. The reversal of 103023002000 is 200320301.

It is a super-2 number, since 2×1030230020002 (a number of 23 digits) contains 22 as substring.

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, 68181245 + ... + 68182755.

Almost surely, 2103023002000 is an apocalyptic number.

103023002000 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 103023002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126615146112).

103023002000 is an abundant number, since it is smaller than the sum of its proper divisors (150207290224).

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

103023002000 is a wasteful number, since it uses less digits than its factorization.

103023002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 103023002000 its reverse (200320301), we get a palindrome (103223322301).

The spelling of 103023002000 in words is "one hundred three billion, twenty-three million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 467 500 584 730 934 1000 1168 1460 1511 1825 1868 2000 2335 2920 3022 3650 3736 4670 5840 6044 7300 7472 7555 9125 9340 11675 12088 14600 15110 18250 18680 23350 24176 29200 30220 34091 36500 37360 37775 46700 58375 60440 68182 73000 75550 93400 110303 116750 120880 136364 146000 151100 170455 186800 188875 220606 233500 272728 302200 340910 377750 441212 467000 545456 551515 604400 681820 705637 755500 852275 882424 934000 1103030 1363640 1411274 1511000 1704550 1764848 2206060 2727280 2757575 2822548 3022000 3409100 3528185 4261375 4412120 5515150 5645096 6818200 7056370 8522750 8824240 11030300 11290192 13636400 13787875 14112740 17045500 17640925 22060600 27575750 28225480 34091000 35281850 44121200 51511501 55151500 56450960 68182000 70563700 88204625 103023002 110303000 141127400 176409250 206046004 220606000 257557505 282254800 352818500 412092008 515115010 705637000 824184016 1030230020 1287787525 1411274000 2060460040 2575575050 4120920080 5151150100 6438937625 10302300200 12877875250 20604600400 25755750500 51511501000 103023002000